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Finding the Fourth Proportional to 8,329.24, 11,493.24 and 5,349.11

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Solution

The fourth proportional to 8,329.24, 11,493.24 and 5,349.11 is: 7,381.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.24 : 11,493.24 = 5,349.11 : x
  2. Step 2: Convert to fraction form
    8,329.24/11,493.24 = 5,349.11/x
  3. Step 3: Cross multiply
    8,329.24x = 11,493.24 × 5,349.11
  4. Step 4: Simplify right side
    8,329.24x = 61,478,605.02
  5. Step 5: Solve for x
    x = 61,478,605.02/8,329.24
  6. Step 6: Final answer
    x = 7,381.06

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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.