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Finding the Fourth Proportional to 8,711.31, 13,059.68 and 6,071.07

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Solution

The fourth proportional to 8,711.31, 13,059.68 and 6,071.07 is: 9,101.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.31 : 13,059.68 = 6,071.07 : x
  2. Step 2: Convert to fraction form
    8,711.31/13,059.68 = 6,071.07/x
  3. Step 3: Cross multiply
    8,711.31x = 13,059.68 × 6,071.07
  4. Step 4: Simplify right side
    8,711.31x = 79,286,250.08
  5. Step 5: Solve for x
    x = 79,286,250.08/8,711.31
  6. Step 6: Final answer
    x = 9,101.53

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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.