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Finding the Fourth Proportional to 10,366.98, 15,537.44 and 8,167.02

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Solution

The fourth proportional to 10,366.98, 15,537.44 and 8,167.02 is: 12,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.98 : 15,537.44 = 8,167.02 : x
  2. Step 2: Convert to fraction form
    10,366.98/15,537.44 = 8,167.02/x
  3. Step 3: Cross multiply
    10,366.98x = 15,537.44 × 8,167.02
  4. Step 4: Simplify right side
    10,366.98x = 126,894,583.23
  5. Step 5: Solve for x
    x = 126,894,583.23/10,366.98
  6. Step 6: Final answer
    x = 12,240.27

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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.