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Finding the Fourth Proportional to 8,442.74, 11,652.42 and 4,908.00

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Solution

The fourth proportional to 8,442.74, 11,652.42 and 4,908.00 is: 6,773.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.74 : 11,652.42 = 4,908.00 : x
  2. Step 2: Convert to fraction form
    8,442.74/11,652.42 = 4,908.00/x
  3. Step 3: Cross multiply
    8,442.74x = 11,652.42 × 4,908.00
  4. Step 4: Simplify right side
    8,442.74x = 57,190,073.92
  5. Step 5: Solve for x
    x = 57,190,073.92/8,442.74
  6. Step 6: Final answer
    x = 6,773.88

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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.