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Finding the Fourth Proportional to 7,114.50, 10,672.56 and 3,652.56

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Solution

The fourth proportional to 7,114.50, 10,672.56 and 3,652.56 is: 5,479.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.50 : 10,672.56 = 3,652.56 : x
  2. Step 2: Convert to fraction form
    7,114.50/10,672.56 = 3,652.56/x
  3. Step 3: Cross multiply
    7,114.50x = 10,672.56 × 3,652.56
  4. Step 4: Simplify right side
    7,114.50x = 38,982,165.75
  5. Step 5: Solve for x
    x = 38,982,165.75/7,114.50
  6. Step 6: Final answer
    x = 5,479.26

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Why These Related Problems?

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