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Finding the Fourth Proportional to 8,654, 11,942.76 and 4,877.12

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Solution

The fourth proportional to 8,654, 11,942.76 and 4,877.12 is: 6,730.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654 : 11,942.76 = 4,877.12 : x
  2. Step 2: Convert to fraction form
    8,654/11,942.76 = 4,877.12/x
  3. Step 3: Cross multiply
    8,654x = 11,942.76 × 4,877.12
  4. Step 4: Simplify right side
    8,654x = 58,246,273.65
  5. Step 5: Solve for x
    x = 58,246,273.65/8,654
  6. Step 6: Final answer
    x = 6,730.56

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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.