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Finding the Fourth Proportional to 8,119.24, 12,170.46 and 4,420.46

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Solution

The fourth proportional to 8,119.24, 12,170.46 and 4,420.46 is: 6,626.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.24 : 12,170.46 = 4,420.46 : x
  2. Step 2: Convert to fraction form
    8,119.24/12,170.46 = 4,420.46/x
  3. Step 3: Cross multiply
    8,119.24x = 12,170.46 × 4,420.46
  4. Step 4: Simplify right side
    8,119.24x = 53,799,031.61
  5. Step 5: Solve for x
    x = 53,799,031.61/8,119.24
  6. Step 6: Final answer
    x = 6,626.12

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