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Finding the Fourth Proportional to 8,191.42, 12,285.92 and 4,030.31

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Solution

The fourth proportional to 8,191.42, 12,285.92 and 4,030.31 is: 6,044.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.42 : 12,285.92 = 4,030.31 : x
  2. Step 2: Convert to fraction form
    8,191.42/12,285.92 = 4,030.31/x
  3. Step 3: Cross multiply
    8,191.42x = 12,285.92 × 4,030.31
  4. Step 4: Simplify right side
    8,191.42x = 49,516,046.08
  5. Step 5: Solve for x
    x = 49,516,046.08/8,191.42
  6. Step 6: Final answer
    x = 6,044.87

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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.