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Finding the Fourth Proportional to 10,042.62, 15,064.05 and 4,778.19

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Solution

The fourth proportional to 10,042.62, 15,064.05 and 4,778.19 is: 7,167.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.62 : 15,064.05 = 4,778.19 : x
  2. Step 2: Convert to fraction form
    10,042.62/15,064.05 = 4,778.19/x
  3. Step 3: Cross multiply
    10,042.62x = 15,064.05 × 4,778.19
  4. Step 4: Simplify right side
    10,042.62x = 71,978,893.07
  5. Step 5: Solve for x
    x = 71,978,893.07/10,042.62
  6. Step 6: Final answer
    x = 7,167.34

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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.