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Finding the Fourth Proportional to 8,477.17, 12,716.59 and 3,141.78

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Solution

The fourth proportional to 8,477.17, 12,716.59 and 3,141.78 is: 4,712.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477.17 : 12,716.59 = 3,141.78 : x
  2. Step 2: Convert to fraction form
    8,477.17/12,716.59 = 3,141.78/x
  3. Step 3: Cross multiply
    8,477.17x = 12,716.59 × 3,141.78
  4. Step 4: Simplify right side
    8,477.17x = 39,952,664.55
  5. Step 5: Solve for x
    x = 39,952,664.55/8,477.17
  6. Step 6: Final answer
    x = 4,712.97

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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.