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Finding the Fourth Proportional to 8,297.12, 12,446.85 and 3,102.50

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Solution

The fourth proportional to 8,297.12, 12,446.85 and 3,102.50 is: 4,654.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.12 : 12,446.85 = 3,102.50 : x
  2. Step 2: Convert to fraction form
    8,297.12/12,446.85 = 3,102.50/x
  3. Step 3: Cross multiply
    8,297.12x = 12,446.85 × 3,102.50
  4. Step 4: Simplify right side
    8,297.12x = 38,616,352.13
  5. Step 5: Solve for x
    x = 38,616,352.13/8,297.12
  6. Step 6: Final answer
    x = 4,654.19

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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.