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Finding the Fourth Proportional to 8,001.14, 12,002.24 and 4,488.50

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Solution

The fourth proportional to 8,001.14, 12,002.24 and 4,488.50 is: 6,733.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.14 : 12,002.24 = 4,488.50 : x
  2. Step 2: Convert to fraction form
    8,001.14/12,002.24 = 4,488.50/x
  3. Step 3: Cross multiply
    8,001.14x = 12,002.24 × 4,488.50
  4. Step 4: Simplify right side
    8,001.14x = 53,871,971.79
  5. Step 5: Solve for x
    x = 53,871,971.79/8,001.14
  6. Step 6: Final answer
    x = 6,733.04

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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.