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Finding the Fourth Proportional to 10,871.08, 16,280.70 and 8,387.80

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Solution

The fourth proportional to 10,871.08, 16,280.70 and 8,387.80 is: 12,561.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.08 : 16,280.70 = 8,387.80 : x
  2. Step 2: Convert to fraction form
    10,871.08/16,280.70 = 8,387.80/x
  3. Step 3: Cross multiply
    10,871.08x = 16,280.70 × 8,387.80
  4. Step 4: Simplify right side
    10,871.08x = 136,559,255.46
  5. Step 5: Solve for x
    x = 136,559,255.46/10,871.08
  6. Step 6: Final answer
    x = 12,561.70

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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.