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Finding the Fourth Proportional to 8,314.35, 12,471.51 and 3,382.89

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Solution

The fourth proportional to 8,314.35, 12,471.51 and 3,382.89 is: 5,074.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.35 : 12,471.51 = 3,382.89 : x
  2. Step 2: Convert to fraction form
    8,314.35/12,471.51 = 3,382.89/x
  3. Step 3: Cross multiply
    8,314.35x = 12,471.51 × 3,382.89
  4. Step 4: Simplify right side
    8,314.35x = 42,189,746.46
  5. Step 5: Solve for x
    x = 42,189,746.46/8,314.35
  6. Step 6: Final answer
    x = 5,074.33

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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.