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Finding the Fourth Proportional to 7,649.24, 11,473.62 and 2,177.24

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Solution

The fourth proportional to 7,649.24, 11,473.62 and 2,177.24 is: 3,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.24 : 11,473.62 = 2,177.24 : x
  2. Step 2: Convert to fraction form
    7,649.24/11,473.62 = 2,177.24/x
  3. Step 3: Cross multiply
    7,649.24x = 11,473.62 × 2,177.24
  4. Step 4: Simplify right side
    7,649.24x = 24,980,824.41
  5. Step 5: Solve for x
    x = 24,980,824.41/7,649.24
  6. Step 6: Final answer
    x = 3,265.79

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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.