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Finding the Fourth Proportional to 10,332, 14,257.80 and 5,616.18

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Solution

The fourth proportional to 10,332, 14,257.80 and 5,616.18 is: 7,750.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332 : 14,257.80 = 5,616.18 : x
  2. Step 2: Convert to fraction form
    10,332/14,257.80 = 5,616.18/x
  3. Step 3: Cross multiply
    10,332x = 14,257.80 × 5,616.18
  4. Step 4: Simplify right side
    10,332x = 80,074,371.20
  5. Step 5: Solve for x
    x = 80,074,371.20/10,332
  6. Step 6: Final answer
    x = 7,750.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.