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Finding the Fourth Proportional to 7,905.38, 10,909.12 and 4,545.92

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Solution

The fourth proportional to 7,905.38, 10,909.12 and 4,545.92 is: 6,273.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,905.38 : 10,909.12 = 4,545.92 : x
  2. Step 2: Convert to fraction form
    7,905.38/10,909.12 = 4,545.92/x
  3. Step 3: Cross multiply
    7,905.38x = 10,909.12 × 4,545.92
  4. Step 4: Simplify right side
    7,905.38x = 49,591,986.79
  5. Step 5: Solve for x
    x = 49,591,986.79/7,905.38
  6. Step 6: Final answer
    x = 6,273.19

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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.