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Finding the Fourth Proportional to 7,107.72, 10,654.46 and 5,862.15

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Solution

The fourth proportional to 7,107.72, 10,654.46 and 5,862.15 is: 8,787.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.72 : 10,654.46 = 5,862.15 : x
  2. Step 2: Convert to fraction form
    7,107.72/10,654.46 = 5,862.15/x
  3. Step 3: Cross multiply
    7,107.72x = 10,654.46 × 5,862.15
  4. Step 4: Simplify right side
    7,107.72x = 62,458,042.69
  5. Step 5: Solve for x
    x = 62,458,042.69/7,107.72
  6. Step 6: Final answer
    x = 8,787.35

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