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Finding the Fourth Proportional to 11,515.30, 15,891.18 and 6,801.90

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Solution

The fourth proportional to 11,515.30, 15,891.18 and 6,801.90 is: 9,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515.30 : 15,891.18 = 6,801.90 : x
  2. Step 2: Convert to fraction form
    11,515.30/15,891.18 = 6,801.90/x
  3. Step 3: Cross multiply
    11,515.30x = 15,891.18 × 6,801.90
  4. Step 4: Simplify right side
    11,515.30x = 108,090,217.24
  5. Step 5: Solve for x
    x = 108,090,217.24/11,515.30
  6. Step 6: Final answer
    x = 9,386.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.