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Finding the Fourth Proportional to 10,711.58, 16,073.71 and 5,170.64

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Solution

The fourth proportional to 10,711.58, 16,073.71 and 5,170.64 is: 7,759.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.58 : 16,073.71 = 5,170.64 : x
  2. Step 2: Convert to fraction form
    10,711.58/16,073.71 = 5,170.64/x
  3. Step 3: Cross multiply
    10,711.58x = 16,073.71 × 5,170.64
  4. Step 4: Simplify right side
    10,711.58x = 83,111,274.58
  5. Step 5: Solve for x
    x = 83,111,274.58/10,711.58
  6. Step 6: Final answer
    x = 7,759.02

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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.