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Finding the Fourth Proportional to 8,128.71, 11,217.69 and 4,592.16

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Solution

The fourth proportional to 8,128.71, 11,217.69 and 4,592.16 is: 6,337.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.71 : 11,217.69 = 4,592.16 : x
  2. Step 2: Convert to fraction form
    8,128.71/11,217.69 = 4,592.16/x
  3. Step 3: Cross multiply
    8,128.71x = 11,217.69 × 4,592.16
  4. Step 4: Simplify right side
    8,128.71x = 51,513,427.31
  5. Step 5: Solve for x
    x = 51,513,427.31/8,128.71
  6. Step 6: Final answer
    x = 6,337.22

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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.