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Finding the Fourth Proportional to 8,854.68, 12,212.46 and 8,258.52

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Solution

The fourth proportional to 8,854.68, 12,212.46 and 8,258.52 is: 11,390.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,854.68 : 12,212.46 = 8,258.52 : x
  2. Step 2: Convert to fraction form
    8,854.68/12,212.46 = 8,258.52/x
  3. Step 3: Cross multiply
    8,854.68x = 12,212.46 × 8,258.52
  4. Step 4: Simplify right side
    8,854.68x = 100,856,845.16
  5. Step 5: Solve for x
    x = 100,856,845.16/8,854.68
  6. Step 6: Final answer
    x = 11,390.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.