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Finding the Fourth Proportional to 7,765,486.52, 11,648,819.50 and 2,646,325.40

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Solution

The fourth proportional to 7,765,486.52, 11,648,819.50 and 2,646,325.40 is: 3,969,689.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765,486.52 : 11,648,819.50 = 2,646,325.40 : x
  2. Step 2: Convert to fraction form
    7,765,486.52/11,648,819.50 = 2,646,325.40/x
  3. Step 3: Cross multiply
    7,765,486.52x = 11,648,819.50 × 2,646,325.40
  4. Step 4: Simplify right side
    7,765,486.52x = 30,826,566,922,865.30
  5. Step 5: Solve for x
    x = 30,826,566,922,865.30/7,765,486.52
  6. Step 6: Final answer
    x = 3,969,689.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.