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Finding the Fourth Proportional to 8,144.32, 11,233.28 and 5,002.24

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Solution

The fourth proportional to 8,144.32, 11,233.28 and 5,002.24 is: 6,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.32 : 11,233.28 = 5,002.24 : x
  2. Step 2: Convert to fraction form
    8,144.32/11,233.28 = 5,002.24/x
  3. Step 3: Cross multiply
    8,144.32x = 11,233.28 × 5,002.24
  4. Step 4: Simplify right side
    8,144.32x = 56,191,562.55
  5. Step 5: Solve for x
    x = 56,191,562.55/8,144.32
  6. Step 6: Final answer
    x = 6,899.48

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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.