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Finding the Fourth Proportional to 8,002.38, 11,046.12 and 5,277.12

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Solution

The fourth proportional to 8,002.38, 11,046.12 and 5,277.12 is: 7,284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.38 : 11,046.12 = 5,277.12 : x
  2. Step 2: Convert to fraction form
    8,002.38/11,046.12 = 5,277.12/x
  3. Step 3: Cross multiply
    8,002.38x = 11,046.12 × 5,277.12
  4. Step 4: Simplify right side
    8,002.38x = 58,291,700.77
  5. Step 5: Solve for x
    x = 58,291,700.77/8,002.38
  6. Step 6: Final answer
    x = 7,284.30

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Why These Related Problems?

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