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Finding the Fourth Proportional to 7,649.58, 11,473.28 and 2,454.78

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Solution

The fourth proportional to 7,649.58, 11,473.28 and 2,454.78 is: 3,681.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.58 : 11,473.28 = 2,454.78 : x
  2. Step 2: Convert to fraction form
    7,649.58/11,473.28 = 2,454.78/x
  3. Step 3: Cross multiply
    7,649.58x = 11,473.28 × 2,454.78
  4. Step 4: Simplify right side
    7,649.58x = 28,164,378.28
  5. Step 5: Solve for x
    x = 28,164,378.28/7,649.58
  6. Step 6: Final answer
    x = 3,681.82

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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.