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Finding the Fourth Proportional to 10,324.53, 14,247.88 and 5,849.11

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Solution

The fourth proportional to 10,324.53, 14,247.88 and 5,849.11 is: 8,071.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.53 : 14,247.88 = 5,849.11 : x
  2. Step 2: Convert to fraction form
    10,324.53/14,247.88 = 5,849.11/x
  3. Step 3: Cross multiply
    10,324.53x = 14,247.88 × 5,849.11
  4. Step 4: Simplify right side
    10,324.53x = 83,337,346.15
  5. Step 5: Solve for x
    x = 83,337,346.15/10,324.53
  6. Step 6: Final answer
    x = 8,071.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.