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Finding the Fourth Proportional to 8,271.15, 12,407.13 and 3,340.17

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Solution

The fourth proportional to 8,271.15, 12,407.13 and 3,340.17 is: 5,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.15 : 12,407.13 = 3,340.17 : x
  2. Step 2: Convert to fraction form
    8,271.15/12,407.13 = 3,340.17/x
  3. Step 3: Cross multiply
    8,271.15x = 12,407.13 × 3,340.17
  4. Step 4: Simplify right side
    8,271.15x = 41,441,923.41
  5. Step 5: Solve for x
    x = 41,441,923.41/8,271.15
  6. Step 6: Final answer
    x = 5,010.42

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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.