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Finding the Fourth Proportional to 10,954.41, 15,114.96 and 6,706.44

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Solution

The fourth proportional to 10,954.41, 15,114.96 and 6,706.44 is: 9,253.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.41 : 15,114.96 = 6,706.44 : x
  2. Step 2: Convert to fraction form
    10,954.41/15,114.96 = 6,706.44/x
  3. Step 3: Cross multiply
    10,954.41x = 15,114.96 × 6,706.44
  4. Step 4: Simplify right side
    10,954.41x = 101,367,572.34
  5. Step 5: Solve for x
    x = 101,367,572.34/10,954.41
  6. Step 6: Final answer
    x = 9,253.59

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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.