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Finding the Fourth Proportional to 8,314.93, 12,461.57 and 3,378.80

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Solution

The fourth proportional to 8,314.93, 12,461.57 and 3,378.80 is: 5,063.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.93 : 12,461.57 = 3,378.80 : x
  2. Step 2: Convert to fraction form
    8,314.93/12,461.57 = 3,378.80/x
  3. Step 3: Cross multiply
    8,314.93x = 12,461.57 × 3,378.80
  4. Step 4: Simplify right side
    8,314.93x = 42,105,175.42
  5. Step 5: Solve for x
    x = 42,105,175.42/8,314.93
  6. Step 6: Final answer
    x = 5,063.80

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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.