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Finding the Fourth Proportional to 7,434.16, 11,151.85 and 3,734.49

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Solution

The fourth proportional to 7,434.16, 11,151.85 and 3,734.49 is: 5,602.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434.16 : 11,151.85 = 3,734.49 : x
  2. Step 2: Convert to fraction form
    7,434.16/11,151.85 = 3,734.49/x
  3. Step 3: Cross multiply
    7,434.16x = 11,151.85 × 3,734.49
  4. Step 4: Simplify right side
    7,434.16x = 41,646,472.31
  5. Step 5: Solve for x
    x = 41,646,472.31/7,434.16
  6. Step 6: Final answer
    x = 5,602.04

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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.