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Finding the Fourth Proportional to 7,787.22, 10,743.11 and 5,099.10

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Solution

The fourth proportional to 7,787.22, 10,743.11 and 5,099.10 is: 7,034.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.22 : 10,743.11 = 5,099.10 : x
  2. Step 2: Convert to fraction form
    7,787.22/10,743.11 = 5,099.10/x
  3. Step 3: Cross multiply
    7,787.22x = 10,743.11 × 5,099.10
  4. Step 4: Simplify right side
    7,787.22x = 54,780,166.71
  5. Step 5: Solve for x
    x = 54,780,166.71/7,787.22
  6. Step 6: Final answer
    x = 7,034.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.