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Finding the Fourth Proportional to 10,117.81, 15,174.51 and 3,876.40

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Solution

The fourth proportional to 10,117.81, 15,174.51 and 3,876.40 is: 5,813.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,117.81 : 15,174.51 = 3,876.40 : x
  2. Step 2: Convert to fraction form
    10,117.81/15,174.51 = 3,876.40/x
  3. Step 3: Cross multiply
    10,117.81x = 15,174.51 × 3,876.40
  4. Step 4: Simplify right side
    10,117.81x = 58,822,470.56
  5. Step 5: Solve for x
    x = 58,822,470.56/10,117.81
  6. Step 6: Final answer
    x = 5,813.76

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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.