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Finding the Fourth Proportional to 10,301.52, 15,445.68 and 6,787.44

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Solution

The fourth proportional to 10,301.52, 15,445.68 and 6,787.44 is: 10,176.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,301.52 : 15,445.68 = 6,787.44 : x
  2. Step 2: Convert to fraction form
    10,301.52/15,445.68 = 6,787.44/x
  3. Step 3: Cross multiply
    10,301.52x = 15,445.68 × 6,787.44
  4. Step 4: Simplify right side
    10,301.52x = 104,836,626.26
  5. Step 5: Solve for x
    x = 104,836,626.26/10,301.52
  6. Step 6: Final answer
    x = 10,176.81

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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.