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Finding the Fourth Proportional to 10,524.50, 15,787.56 and 3,599

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Solution

The fourth proportional to 10,524.50, 15,787.56 and 3,599 is: 5,398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.50 : 15,787.56 = 3,599 : x
  2. Step 2: Convert to fraction form
    10,524.50/15,787.56 = 3,599/x
  3. Step 3: Cross multiply
    10,524.50x = 15,787.56 × 3,599
  4. Step 4: Simplify right side
    10,524.50x = 56,819,428.44
  5. Step 5: Solve for x
    x = 56,819,428.44/10,524.50
  6. Step 6: Final answer
    x = 5,398.78

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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.