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Finding the Fourth Proportional to 7,086.54, 10,610.46 and 5,114.19

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Solution

The fourth proportional to 7,086.54, 10,610.46 and 5,114.19 is: 7,657.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.54 : 10,610.46 = 5,114.19 : x
  2. Step 2: Convert to fraction form
    7,086.54/10,610.46 = 5,114.19/x
  3. Step 3: Cross multiply
    7,086.54x = 10,610.46 × 5,114.19
  4. Step 4: Simplify right side
    7,086.54x = 54,263,908.43
  5. Step 5: Solve for x
    x = 54,263,908.43/7,086.54
  6. Step 6: Final answer
    x = 7,657.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.