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Finding the Fourth Proportional to 10,876.68, 16,314.30 and 6,480.36

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Solution

The fourth proportional to 10,876.68, 16,314.30 and 6,480.36 is: 9,720.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.68 : 16,314.30 = 6,480.36 : x
  2. Step 2: Convert to fraction form
    10,876.68/16,314.30 = 6,480.36/x
  3. Step 3: Cross multiply
    10,876.68x = 16,314.30 × 6,480.36
  4. Step 4: Simplify right side
    10,876.68x = 105,722,537.15
  5. Step 5: Solve for x
    x = 105,722,537.15/10,876.68
  6. Step 6: Final answer
    x = 9,720.11

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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.