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Finding the Fourth Proportional to 10,513.38, 15,773.04 and 3,117.82

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Solution

The fourth proportional to 10,513.38, 15,773.04 and 3,117.82 is: 4,677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.38 : 15,773.04 = 3,117.82 : x
  2. Step 2: Convert to fraction form
    10,513.38/15,773.04 = 3,117.82/x
  3. Step 3: Cross multiply
    10,513.38x = 15,773.04 × 3,117.82
  4. Step 4: Simplify right side
    10,513.38x = 49,177,499.57
  5. Step 5: Solve for x
    x = 49,177,499.57/10,513.38
  6. Step 6: Final answer
    x = 4,677.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.