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Finding the Fourth Proportional to 10,407.30, 15,609.52 and 8,663.37

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Solution

The fourth proportional to 10,407.30, 15,609.52 and 8,663.37 is: 12,993.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.30 : 15,609.52 = 8,663.37 : x
  2. Step 2: Convert to fraction form
    10,407.30/15,609.52 = 8,663.37/x
  3. Step 3: Cross multiply
    10,407.30x = 15,609.52 × 8,663.37
  4. Step 4: Simplify right side
    10,407.30x = 135,231,047.28
  5. Step 5: Solve for x
    x = 135,231,047.28/10,407.30
  6. Step 6: Final answer
    x = 12,993.86

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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.