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Finding the Fourth Proportional to 7,766,843.66, 11,650,255.41 and 2,087,068.10

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Solution

The fourth proportional to 7,766,843.66, 11,650,255.41 and 2,087,068.10 is: 3,130,599.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766,843.66 : 11,650,255.41 = 2,087,068.10 : x
  2. Step 2: Convert to fraction form
    7,766,843.66/11,650,255.41 = 2,087,068.10/x
  3. Step 3: Cross multiply
    7,766,843.66x = 11,650,255.41 × 2,087,068.10
  4. Step 4: Simplify right side
    7,766,843.66x = 24,314,876,423,063.42
  5. Step 5: Solve for x
    x = 24,314,876,423,063.42/7,766,843.66
  6. Step 6: Final answer
    x = 3,130,599.44

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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.