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Finding the Fourth Proportional to 8,374.75, 12,562.13 and 2,218.75

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Solution

The fourth proportional to 8,374.75, 12,562.13 and 2,218.75 is: 3,328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.75 : 12,562.13 = 2,218.75 : x
  2. Step 2: Convert to fraction form
    8,374.75/12,562.13 = 2,218.75/x
  3. Step 3: Cross multiply
    8,374.75x = 12,562.13 × 2,218.75
  4. Step 4: Simplify right side
    8,374.75x = 27,872,225.94
  5. Step 5: Solve for x
    x = 27,872,225.94/8,374.75
  6. Step 6: Final answer
    x = 3,328.13

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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.