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Finding the Fourth Proportional to 10,349.16, 15,520.22 and 3,421.96

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Solution

The fourth proportional to 10,349.16, 15,520.22 and 3,421.96 is: 5,131.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349.16 : 15,520.22 = 3,421.96 : x
  2. Step 2: Convert to fraction form
    10,349.16/15,520.22 = 3,421.96/x
  3. Step 3: Cross multiply
    10,349.16x = 15,520.22 × 3,421.96
  4. Step 4: Simplify right side
    10,349.16x = 53,109,572.03
  5. Step 5: Solve for x
    x = 53,109,572.03/10,349.16
  6. Step 6: Final answer
    x = 5,131.78

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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.