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Finding the Fourth Proportional to 8,073.76, 12,102 and 4,174.24

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Solution

The fourth proportional to 8,073.76, 12,102 and 4,174.24 is: 6,256.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073.76 : 12,102 = 4,174.24 : x
  2. Step 2: Convert to fraction form
    8,073.76/12,102 = 4,174.24/x
  3. Step 3: Cross multiply
    8,073.76x = 12,102 × 4,174.24
  4. Step 4: Simplify right side
    8,073.76x = 50,516,652.48
  5. Step 5: Solve for x
    x = 50,516,652.48/8,073.76
  6. Step 6: Final answer
    x = 6,256.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.