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Finding the Fourth Proportional to 10,332.38, 14,258.76 and 5,616.74

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Solution

The fourth proportional to 10,332.38, 14,258.76 and 5,616.74 is: 7,751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,332.38 : 14,258.76 = 5,616.74 : x
  2. Step 2: Convert to fraction form
    10,332.38/14,258.76 = 5,616.74/x
  3. Step 3: Cross multiply
    10,332.38x = 14,258.76 × 5,616.74
  4. Step 4: Simplify right side
    10,332.38x = 80,087,747.64
  5. Step 5: Solve for x
    x = 80,087,747.64/10,332.38
  6. Step 6: Final answer
    x = 7,751.14

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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.