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Finding the Fourth Proportional to 8,117.74, 12,171.12 and 3,184.30

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Solution

The fourth proportional to 8,117.74, 12,171.12 and 3,184.30 is: 4,774.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.74 : 12,171.12 = 3,184.30 : x
  2. Step 2: Convert to fraction form
    8,117.74/12,171.12 = 3,184.30/x
  3. Step 3: Cross multiply
    8,117.74x = 12,171.12 × 3,184.30
  4. Step 4: Simplify right side
    8,117.74x = 38,756,497.42
  5. Step 5: Solve for x
    x = 38,756,497.42/8,117.74
  6. Step 6: Final answer
    x = 4,774.30

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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.