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Finding the Fourth Proportional to 10,103.38, 13,931.52 and 6,917.20

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Solution

The fourth proportional to 10,103.38, 13,931.52 and 6,917.20 is: 9,538.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,103.38 : 13,931.52 = 6,917.20 : x
  2. Step 2: Convert to fraction form
    10,103.38/13,931.52 = 6,917.20/x
  3. Step 3: Cross multiply
    10,103.38x = 13,931.52 × 6,917.20
  4. Step 4: Simplify right side
    10,103.38x = 96,367,110.14
  5. Step 5: Solve for x
    x = 96,367,110.14/10,103.38
  6. Step 6: Final answer
    x = 9,538.11

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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.