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Finding the Fourth Proportional to 7,576.76, 10,447.38 and 5,337.88

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Solution

The fourth proportional to 7,576.76, 10,447.38 and 5,337.88 is: 7,360.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576.76 : 10,447.38 = 5,337.88 : x
  2. Step 2: Convert to fraction form
    7,576.76/10,447.38 = 5,337.88/x
  3. Step 3: Cross multiply
    7,576.76x = 10,447.38 × 5,337.88
  4. Step 4: Simplify right side
    7,576.76x = 55,766,860.75
  5. Step 5: Solve for x
    x = 55,766,860.75/7,576.76
  6. Step 6: Final answer
    x = 7,360.25

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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.