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Finding the Fourth Proportional to 10,449.09, 15,713.42 and 8,345.43

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Solution

The fourth proportional to 10,449.09, 15,713.42 and 8,345.43 is: 12,549.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.09 : 15,713.42 = 8,345.43 : x
  2. Step 2: Convert to fraction form
    10,449.09/15,713.42 = 8,345.43/x
  3. Step 3: Cross multiply
    10,449.09x = 15,713.42 × 8,345.43
  4. Step 4: Simplify right side
    10,449.09x = 131,135,204.94
  5. Step 5: Solve for x
    x = 131,135,204.94/10,449.09
  6. Step 6: Final answer
    x = 12,549.92

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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.