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Finding the Fourth Proportional to 6,758.24, 10,140.84 and 5,114.24

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Solution

The fourth proportional to 6,758.24, 10,140.84 and 5,114.24 is: 7,673.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.24 : 10,140.84 = 5,114.24 : x
  2. Step 2: Convert to fraction form
    6,758.24/10,140.84 = 5,114.24/x
  3. Step 3: Cross multiply
    6,758.24x = 10,140.84 × 5,114.24
  4. Step 4: Simplify right side
    6,758.24x = 51,862,689.56
  5. Step 5: Solve for x
    x = 51,862,689.56/6,758.24
  6. Step 6: Final answer
    x = 7,673.99

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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.