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Finding the Fourth Proportional to 10,925.38, 15,077.02 and 6,209.96

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Solution

The fourth proportional to 10,925.38, 15,077.02 and 6,209.96 is: 8,569.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,925.38 : 15,077.02 = 6,209.96 : x
  2. Step 2: Convert to fraction form
    10,925.38/15,077.02 = 6,209.96/x
  3. Step 3: Cross multiply
    10,925.38x = 15,077.02 × 6,209.96
  4. Step 4: Simplify right side
    10,925.38x = 93,627,691.12
  5. Step 5: Solve for x
    x = 93,627,691.12/10,925.38
  6. Step 6: Final answer
    x = 8,569.75

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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.