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Finding the Fourth Proportional to 8,665.14, 11,956.08 and 5,308.71

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Solution

The fourth proportional to 8,665.14, 11,956.08 and 5,308.71 is: 7,324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.14 : 11,956.08 = 5,308.71 : x
  2. Step 2: Convert to fraction form
    8,665.14/11,956.08 = 5,308.71/x
  3. Step 3: Cross multiply
    8,665.14x = 11,956.08 × 5,308.71
  4. Step 4: Simplify right side
    8,665.14x = 63,471,361.46
  5. Step 5: Solve for x
    x = 63,471,361.46/8,665.14
  6. Step 6: Final answer
    x = 7,324.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.