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Finding the Fourth Proportional to 6,876.63, 10,314.95 and 2,197.13

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Solution

The fourth proportional to 6,876.63, 10,314.95 and 2,197.13 is: 3,295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.63 : 10,314.95 = 2,197.13 : x
  2. Step 2: Convert to fraction form
    6,876.63/10,314.95 = 2,197.13/x
  3. Step 3: Cross multiply
    6,876.63x = 10,314.95 × 2,197.13
  4. Step 4: Simplify right side
    6,876.63x = 22,663,223.53
  5. Step 5: Solve for x
    x = 22,663,223.53/6,876.63
  6. Step 6: Final answer
    x = 3,295.69

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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.