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Finding the Fourth Proportional to 5,713.12, 7,866.57 and 5,000.97

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Solution

The fourth proportional to 5,713.12, 7,866.57 and 5,000.97 is: 6,885.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.12 : 7,866.57 = 5,000.97 : x
  2. Step 2: Convert to fraction form
    5,713.12/7,866.57 = 5,000.97/x
  3. Step 3: Cross multiply
    5,713.12x = 7,866.57 × 5,000.97
  4. Step 4: Simplify right side
    5,713.12x = 39,340,480.57
  5. Step 5: Solve for x
    x = 39,340,480.57/5,713.12
  6. Step 6: Final answer
    x = 6,885.99

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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.