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Finding the Fourth Proportional to 10,335.85, 15,479.13 and 5,648.83

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Solution

The fourth proportional to 10,335.85, 15,479.13 and 5,648.83 is: 8,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.85 : 15,479.13 = 5,648.83 : x
  2. Step 2: Convert to fraction form
    10,335.85/15,479.13 = 5,648.83/x
  3. Step 3: Cross multiply
    10,335.85x = 15,479.13 × 5,648.83
  4. Step 4: Simplify right side
    10,335.85x = 87,438,973.92
  5. Step 5: Solve for x
    x = 87,438,973.92/10,335.85
  6. Step 6: Final answer
    x = 8,459.78

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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.