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Finding the Fourth Proportional to 8,497.67, 12,745.49 and 2,258.15

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Solution

The fourth proportional to 8,497.67, 12,745.49 and 2,258.15 is: 3,386.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.67 : 12,745.49 = 2,258.15 : x
  2. Step 2: Convert to fraction form
    8,497.67/12,745.49 = 2,258.15/x
  3. Step 3: Cross multiply
    8,497.67x = 12,745.49 × 2,258.15
  4. Step 4: Simplify right side
    8,497.67x = 28,781,153.23
  5. Step 5: Solve for x
    x = 28,781,153.23/8,497.67
  6. Step 6: Final answer
    x = 3,386.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.