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Finding the Fourth Proportional to 8,871.30, 13,306.95 and 4,189.77

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Solution

The fourth proportional to 8,871.30, 13,306.95 and 4,189.77 is: 6,284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,871.30 : 13,306.95 = 4,189.77 : x
  2. Step 2: Convert to fraction form
    8,871.30/13,306.95 = 4,189.77/x
  3. Step 3: Cross multiply
    8,871.30x = 13,306.95 × 4,189.77
  4. Step 4: Simplify right side
    8,871.30x = 55,753,059.90
  5. Step 5: Solve for x
    x = 55,753,059.90/8,871.30
  6. Step 6: Final answer
    x = 6,284.66

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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.