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Finding the Fourth Proportional to 10,251.26, 15,355.02 and 7,787.24

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Solution

The fourth proportional to 10,251.26, 15,355.02 and 7,787.24 is: 11,664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.26 : 15,355.02 = 7,787.24 : x
  2. Step 2: Convert to fraction form
    10,251.26/15,355.02 = 7,787.24/x
  3. Step 3: Cross multiply
    10,251.26x = 15,355.02 × 7,787.24
  4. Step 4: Simplify right side
    10,251.26x = 119,573,225.94
  5. Step 5: Solve for x
    x = 119,573,225.94/10,251.26
  6. Step 6: Final answer
    x = 11,664.25

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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.