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Finding the Fourth Proportional to 8,191.29, 12,284.91 and 3,510.77

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Solution

The fourth proportional to 8,191.29, 12,284.91 and 3,510.77 is: 5,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.29 : 12,284.91 = 3,510.77 : x
  2. Step 2: Convert to fraction form
    8,191.29/12,284.91 = 3,510.77/x
  3. Step 3: Cross multiply
    8,191.29x = 12,284.91 × 3,510.77
  4. Step 4: Simplify right side
    8,191.29x = 43,129,475.93
  5. Step 5: Solve for x
    x = 43,129,475.93/8,191.29
  6. Step 6: Final answer
    x = 5,265.28

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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.