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Finding the Fourth Proportional to 8,712.28, 12,021.78 and 5,174.20

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Solution

The fourth proportional to 8,712.28, 12,021.78 and 5,174.20 is: 7,139.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,712.28 : 12,021.78 = 5,174.20 : x
  2. Step 2: Convert to fraction form
    8,712.28/12,021.78 = 5,174.20/x
  3. Step 3: Cross multiply
    8,712.28x = 12,021.78 × 5,174.20
  4. Step 4: Simplify right side
    8,712.28x = 62,203,094.08
  5. Step 5: Solve for x
    x = 62,203,094.08/8,712.28
  6. Step 6: Final answer
    x = 7,139.70

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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.