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Finding the Fourth Proportional to 11,557.16, 15,954.78 and 8,014.22

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Solution

The fourth proportional to 11,557.16, 15,954.78 and 8,014.22 is: 11,063.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.16 : 15,954.78 = 8,014.22 : x
  2. Step 2: Convert to fraction form
    11,557.16/15,954.78 = 8,014.22/x
  3. Step 3: Cross multiply
    11,557.16x = 15,954.78 × 8,014.22
  4. Step 4: Simplify right side
    11,557.16x = 127,865,116.97
  5. Step 5: Solve for x
    x = 127,865,116.97/11,557.16
  6. Step 6: Final answer
    x = 11,063.71

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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.