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Finding the Fourth Proportional to 8,847.52, 12,209.82 and 5,071

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Solution

The fourth proportional to 8,847.52, 12,209.82 and 5,071 is: 6,998.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,847.52 : 12,209.82 = 5,071 : x
  2. Step 2: Convert to fraction form
    8,847.52/12,209.82 = 5,071/x
  3. Step 3: Cross multiply
    8,847.52x = 12,209.82 × 5,071
  4. Step 4: Simplify right side
    8,847.52x = 61,915,997.22
  5. Step 5: Solve for x
    x = 61,915,997.22/8,847.52
  6. Step 6: Final answer
    x = 6,998.12

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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.