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Finding the Fourth Proportional to 8,143.13, 12,206.16 and 3,763.46

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Solution

The fourth proportional to 8,143.13, 12,206.16 and 3,763.46 is: 5,641.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.13 : 12,206.16 = 3,763.46 : x
  2. Step 2: Convert to fraction form
    8,143.13/12,206.16 = 3,763.46/x
  3. Step 3: Cross multiply
    8,143.13x = 12,206.16 × 3,763.46
  4. Step 4: Simplify right side
    8,143.13x = 45,937,333.88
  5. Step 5: Solve for x
    x = 45,937,333.88/8,143.13
  6. Step 6: Final answer
    x = 5,641.24

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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.