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Finding the Fourth Proportional to 10,951.62, 15,114.42 and 6,705.54

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Solution

The fourth proportional to 10,951.62, 15,114.42 and 6,705.54 is: 9,254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951.62 : 15,114.42 = 6,705.54 : x
  2. Step 2: Convert to fraction form
    10,951.62/15,114.42 = 6,705.54/x
  3. Step 3: Cross multiply
    10,951.62x = 15,114.42 × 6,705.54
  4. Step 4: Simplify right side
    10,951.62x = 101,350,347.89
  5. Step 5: Solve for x
    x = 101,350,347.89/10,951.62
  6. Step 6: Final answer
    x = 9,254.37

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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.