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Finding the Fourth Proportional to 8,127, 12,191.10 and 3,510

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Solution

The fourth proportional to 8,127, 12,191.10 and 3,510 is: 5,265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127 : 12,191.10 = 3,510 : x
  2. Step 2: Convert to fraction form
    8,127/12,191.10 = 3,510/x
  3. Step 3: Cross multiply
    8,127x = 12,191.10 × 3,510
  4. Step 4: Simplify right side
    8,127x = 42,790,761
  5. Step 5: Solve for x
    x = 42,790,761/8,127
  6. Step 6: Final answer
    x = 5,265.26

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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.