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Finding the Fourth Proportional to 11,515.22, 15,870.17 and 8,663.22

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Solution

The fourth proportional to 11,515.22, 15,870.17 and 8,663.22 is: 11,939.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515.22 : 15,870.17 = 8,663.22 : x
  2. Step 2: Convert to fraction form
    11,515.22/15,870.17 = 8,663.22/x
  3. Step 3: Cross multiply
    11,515.22x = 15,870.17 × 8,663.22
  4. Step 4: Simplify right side
    11,515.22x = 137,486,730.83
  5. Step 5: Solve for x
    x = 137,486,730.83/11,515.22
  6. Step 6: Final answer
    x = 11,939.57

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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.