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Finding the Fourth Proportional to 11,856.47, 17,767.65 and 8,711.78

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Solution

The fourth proportional to 11,856.47, 17,767.65 and 8,711.78 is: 13,055.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.47 : 17,767.65 = 8,711.78 : x
  2. Step 2: Convert to fraction form
    11,856.47/17,767.65 = 8,711.78/x
  3. Step 3: Cross multiply
    11,856.47x = 17,767.65 × 8,711.78
  4. Step 4: Simplify right side
    11,856.47x = 154,787,857.92
  5. Step 5: Solve for x
    x = 154,787,857.92/11,856.47
  6. Step 6: Final answer
    x = 13,055.14

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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.