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Finding the Fourth Proportional to 10,616.87, 15,853.49 and 9,233.39

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Solution

The fourth proportional to 10,616.87, 15,853.49 and 9,233.39 is: 13,787.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.87 : 15,853.49 = 9,233.39 : x
  2. Step 2: Convert to fraction form
    10,616.87/15,853.49 = 9,233.39/x
  3. Step 3: Cross multiply
    10,616.87x = 15,853.49 × 9,233.39
  4. Step 4: Simplify right side
    10,616.87x = 146,381,330.60
  5. Step 5: Solve for x
    x = 146,381,330.60/10,616.87
  6. Step 6: Final answer
    x = 13,787.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.