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Finding the Fourth Proportional to 6,876.90, 10,319.00 and 3,180.87

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Solution

The fourth proportional to 6,876.90, 10,319.00 and 3,180.87 is: 4,772.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.90 : 10,319.00 = 3,180.87 : x
  2. Step 2: Convert to fraction form
    6,876.90/10,319.00 = 3,180.87/x
  3. Step 3: Cross multiply
    6,876.90x = 10,319.00 × 3,180.87
  4. Step 4: Simplify right side
    6,876.90x = 32,823,381.63
  5. Step 5: Solve for x
    x = 32,823,381.63/6,876.90
  6. Step 6: Final answer
    x = 4,772.99

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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.