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Finding the Fourth Proportional to 10,403.58, 14,344.68 and 8,407.92

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Solution

The fourth proportional to 10,403.58, 14,344.68 and 8,407.92 is: 11,593.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403.58 : 14,344.68 = 8,407.92 : x
  2. Step 2: Convert to fraction form
    10,403.58/14,344.68 = 8,407.92/x
  3. Step 3: Cross multiply
    10,403.58x = 14,344.68 × 8,407.92
  4. Step 4: Simplify right side
    10,403.58x = 120,608,921.87
  5. Step 5: Solve for x
    x = 120,608,921.87/10,403.58
  6. Step 6: Final answer
    x = 11,593.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.