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Finding the Fourth Proportional to 7,515.56, 10,374.38 and 6,728.24

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Solution

The fourth proportional to 7,515.56, 10,374.38 and 6,728.24 is: 9,287.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,515.56 : 10,374.38 = 6,728.24 : x
  2. Step 2: Convert to fraction form
    7,515.56/10,374.38 = 6,728.24/x
  3. Step 3: Cross multiply
    7,515.56x = 10,374.38 × 6,728.24
  4. Step 4: Simplify right side
    7,515.56x = 69,801,318.49
  5. Step 5: Solve for x
    x = 69,801,318.49/7,515.56
  6. Step 6: Final answer
    x = 9,287.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.