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Finding the Fourth Proportional to 7,493.16, 11,229.96 and 5,420.16

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Solution

The fourth proportional to 7,493.16, 11,229.96 and 5,420.16 is: 8,123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.16 : 11,229.96 = 5,420.16 : x
  2. Step 2: Convert to fraction form
    7,493.16/11,229.96 = 5,420.16/x
  3. Step 3: Cross multiply
    7,493.16x = 11,229.96 × 5,420.16
  4. Step 4: Simplify right side
    7,493.16x = 60,868,179.99
  5. Step 5: Solve for x
    x = 60,868,179.99/7,493.16
  6. Step 6: Final answer
    x = 8,123.17

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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.