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Finding the Fourth Proportional to 8,073.85, 12,116.37 and 3,143.53

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Solution

The fourth proportional to 8,073.85, 12,116.37 and 3,143.53 is: 4,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,073.85 : 12,116.37 = 3,143.53 : x
  2. Step 2: Convert to fraction form
    8,073.85/12,116.37 = 3,143.53/x
  3. Step 3: Cross multiply
    8,073.85x = 12,116.37 × 3,143.53
  4. Step 4: Simplify right side
    8,073.85x = 38,088,172.59
  5. Step 5: Solve for x
    x = 38,088,172.59/8,073.85
  6. Step 6: Final answer
    x = 4,717.47

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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.