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Finding the Fourth Proportional to 8,654.38, 11,949.74 and 6,762.70

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Solution

The fourth proportional to 8,654.38, 11,949.74 and 6,762.70 is: 9,337.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.38 : 11,949.74 = 6,762.70 : x
  2. Step 2: Convert to fraction form
    8,654.38/11,949.74 = 6,762.70/x
  3. Step 3: Cross multiply
    8,654.38x = 11,949.74 × 6,762.70
  4. Step 4: Simplify right side
    8,654.38x = 80,812,506.70
  5. Step 5: Solve for x
    x = 80,812,506.70/8,654.38
  6. Step 6: Final answer
    x = 9,337.76

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Why These Related Problems?

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