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Finding the Fourth Proportional to 7,620.76, 11,432.50 and 3,460.60

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Solution

The fourth proportional to 7,620.76, 11,432.50 and 3,460.60 is: 5,191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,620.76 : 11,432.50 = 3,460.60 : x
  2. Step 2: Convert to fraction form
    7,620.76/11,432.50 = 3,460.60/x
  3. Step 3: Cross multiply
    7,620.76x = 11,432.50 × 3,460.60
  4. Step 4: Simplify right side
    7,620.76x = 39,563,309.50
  5. Step 5: Solve for x
    x = 39,563,309.50/7,620.76
  6. Step 6: Final answer
    x = 5,191.52

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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.