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Finding the Fourth Proportional to 7,576.98, 11,371.47 and 3,197.46

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Solution

The fourth proportional to 7,576.98, 11,371.47 and 3,197.46 is: 4,798.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576.98 : 11,371.47 = 3,197.46 : x
  2. Step 2: Convert to fraction form
    7,576.98/11,371.47 = 3,197.46/x
  3. Step 3: Cross multiply
    7,576.98x = 11,371.47 × 3,197.46
  4. Step 4: Simplify right side
    7,576.98x = 36,359,820.47
  5. Step 5: Solve for x
    x = 36,359,820.47/7,576.98
  6. Step 6: Final answer
    x = 4,798.72

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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.