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Finding the Fourth Proportional to 8,121.74, 12,176.12 and 3,507.98

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Solution

The fourth proportional to 8,121.74, 12,176.12 and 3,507.98 is: 5,259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,121.74 : 12,176.12 = 3,507.98 : x
  2. Step 2: Convert to fraction form
    8,121.74/12,176.12 = 3,507.98/x
  3. Step 3: Cross multiply
    8,121.74x = 12,176.12 × 3,507.98
  4. Step 4: Simplify right side
    8,121.74x = 42,713,585.44
  5. Step 5: Solve for x
    x = 42,713,585.44/8,121.74
  6. Step 6: Final answer
    x = 5,259.17

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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.