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Finding the Fourth Proportional to 8,051.86, 12,082.92 and 7,443.15

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Solution

The fourth proportional to 8,051.86, 12,082.92 and 7,443.15 is: 11,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.86 : 12,082.92 = 7,443.15 : x
  2. Step 2: Convert to fraction form
    8,051.86/12,082.92 = 7,443.15/x
  3. Step 3: Cross multiply
    8,051.86x = 12,082.92 × 7,443.15
  4. Step 4: Simplify right side
    8,051.86x = 89,934,986.00
  5. Step 5: Solve for x
    x = 89,934,986.00/8,051.86
  6. Step 6: Final answer
    x = 11,169.47

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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.