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Finding the Fourth Proportional to 10,906.59, 16,364.75 and 5,711.25

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Solution

The fourth proportional to 10,906.59, 16,364.75 and 5,711.25 is: 8,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.59 : 16,364.75 = 5,711.25 : x
  2. Step 2: Convert to fraction form
    10,906.59/16,364.75 = 5,711.25/x
  3. Step 3: Cross multiply
    10,906.59x = 16,364.75 × 5,711.25
  4. Step 4: Simplify right side
    10,906.59x = 93,463,149.88
  5. Step 5: Solve for x
    x = 93,463,149.88/10,906.59
  6. Step 6: Final answer
    x = 8,569.42

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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.