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Finding the Fourth Proportional to 11,531.51, 15,912.68 and 6,814.88

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Solution

The fourth proportional to 11,531.51, 15,912.68 and 6,814.88 is: 9,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,531.51 : 15,912.68 = 6,814.88 : x
  2. Step 2: Convert to fraction form
    11,531.51/15,912.68 = 6,814.88/x
  3. Step 3: Cross multiply
    11,531.51x = 15,912.68 × 6,814.88
  4. Step 4: Simplify right side
    11,531.51x = 108,442,891.04
  5. Step 5: Solve for x
    x = 108,442,891.04/11,531.51
  6. Step 6: Final answer
    x = 9,404.05

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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.