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Finding the Fourth Proportional to 12,863.66, 19,282.22 and 5,848.54

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Solution

The fourth proportional to 12,863.66, 19,282.22 and 5,848.54 is: 8,766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.66 : 19,282.22 = 5,848.54 : x
  2. Step 2: Convert to fraction form
    12,863.66/19,282.22 = 5,848.54/x
  3. Step 3: Cross multiply
    12,863.66x = 19,282.22 × 5,848.54
  4. Step 4: Simplify right side
    12,863.66x = 112,772,834.96
  5. Step 5: Solve for x
    x = 112,772,834.96/12,863.66
  6. Step 6: Final answer
    x = 8,766.78

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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.