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Finding the Fourth Proportional to 8,031.93, 12,047.99 and 2,834.16

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Solution

The fourth proportional to 8,031.93, 12,047.99 and 2,834.16 is: 4,251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.93 : 12,047.99 = 2,834.16 : x
  2. Step 2: Convert to fraction form
    8,031.93/12,047.99 = 2,834.16/x
  3. Step 3: Cross multiply
    8,031.93x = 12,047.99 × 2,834.16
  4. Step 4: Simplify right side
    8,031.93x = 34,145,917.17
  5. Step 5: Solve for x
    x = 34,145,917.17/8,031.93
  6. Step 6: Final answer
    x = 4,251.27

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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.