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Finding the Fourth Proportional to 10,078.96, 15,115.08 and 4,234.48

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Solution

The fourth proportional to 10,078.96, 15,115.08 and 4,234.48 is: 6,350.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.96 : 15,115.08 = 4,234.48 : x
  2. Step 2: Convert to fraction form
    10,078.96/15,115.08 = 4,234.48/x
  3. Step 3: Cross multiply
    10,078.96x = 15,115.08 × 4,234.48
  4. Step 4: Simplify right side
    10,078.96x = 64,004,503.96
  5. Step 5: Solve for x
    x = 64,004,503.96/10,078.96
  6. Step 6: Final answer
    x = 6,350.31

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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.