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Finding the Fourth Proportional to 10,407.80, 15,610.28 and 8,663.87

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Solution

The fourth proportional to 10,407.80, 15,610.28 and 8,663.87 is: 12,994.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.80 : 15,610.28 = 8,663.87 : x
  2. Step 2: Convert to fraction form
    10,407.80/15,610.28 = 8,663.87/x
  3. Step 3: Cross multiply
    10,407.80x = 15,610.28 × 8,663.87
  4. Step 4: Simplify right side
    10,407.80x = 135,245,315.21
  5. Step 5: Solve for x
    x = 135,245,315.21/10,407.80
  6. Step 6: Final answer
    x = 12,994.62

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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.