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Finding the Fourth Proportional to 10,305.96, 15,449.82 and 4,459.38

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Solution

The fourth proportional to 10,305.96, 15,449.82 and 4,459.38 is: 6,685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.96 : 15,449.82 = 4,459.38 : x
  2. Step 2: Convert to fraction form
    10,305.96/15,449.82 = 4,459.38/x
  3. Step 3: Cross multiply
    10,305.96x = 15,449.82 × 4,459.38
  4. Step 4: Simplify right side
    10,305.96x = 68,896,618.31
  5. Step 5: Solve for x
    x = 68,896,618.31/10,305.96
  6. Step 6: Final answer
    x = 6,685.12

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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.