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Finding the Fourth Proportional to 8,761.29, 13,143.67 and 3,214.68

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Solution

The fourth proportional to 8,761.29, 13,143.67 and 3,214.68 is: 4,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.29 : 13,143.67 = 3,214.68 : x
  2. Step 2: Convert to fraction form
    8,761.29/13,143.67 = 3,214.68/x
  3. Step 3: Cross multiply
    8,761.29x = 13,143.67 × 3,214.68
  4. Step 4: Simplify right side
    8,761.29x = 42,252,693.08
  5. Step 5: Solve for x
    x = 42,252,693.08/8,761.29
  6. Step 6: Final answer
    x = 4,822.66

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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.