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Finding the Fourth Proportional to 8,476.40, 12,716.41 and 2,552.78

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Solution

The fourth proportional to 8,476.40, 12,716.41 and 2,552.78 is: 3,829.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.40 : 12,716.41 = 2,552.78 : x
  2. Step 2: Convert to fraction form
    8,476.40/12,716.41 = 2,552.78/x
  3. Step 3: Cross multiply
    8,476.40x = 12,716.41 × 2,552.78
  4. Step 4: Simplify right side
    8,476.40x = 32,462,227.32
  5. Step 5: Solve for x
    x = 32,462,227.32/8,476.40
  6. Step 6: Final answer
    x = 3,829.72

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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.