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Finding the Fourth Proportional to 8,002.20, 11,041.92 and 4,645.29

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Solution

The fourth proportional to 8,002.20, 11,041.92 and 4,645.29 is: 6,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.20 : 11,041.92 = 4,645.29 : x
  2. Step 2: Convert to fraction form
    8,002.20/11,041.92 = 4,645.29/x
  3. Step 3: Cross multiply
    8,002.20x = 11,041.92 × 4,645.29
  4. Step 4: Simplify right side
    8,002.20x = 51,292,920.56
  5. Step 5: Solve for x
    x = 51,292,920.56/8,002.20
  6. Step 6: Final answer
    x = 6,409.85

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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.