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Finding the Fourth Proportional to 10,042.65, 15,057.90 and 4,494.96

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Solution

The fourth proportional to 10,042.65, 15,057.90 and 4,494.96 is: 6,739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.65 : 15,057.90 = 4,494.96 : x
  2. Step 2: Convert to fraction form
    10,042.65/15,057.90 = 4,494.96/x
  3. Step 3: Cross multiply
    10,042.65x = 15,057.90 × 4,494.96
  4. Step 4: Simplify right side
    10,042.65x = 67,684,658.18
  5. Step 5: Solve for x
    x = 67,684,658.18/10,042.65
  6. Step 6: Final answer
    x = 6,739.72

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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.