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Finding the Fourth Proportional to 8,644.64, 11,929.83 and 4,867.94

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Solution

The fourth proportional to 8,644.64, 11,929.83 and 4,867.94 is: 6,717.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.64 : 11,929.83 = 4,867.94 : x
  2. Step 2: Convert to fraction form
    8,644.64/11,929.83 = 4,867.94/x
  3. Step 3: Cross multiply
    8,644.64x = 11,929.83 × 4,867.94
  4. Step 4: Simplify right side
    8,644.64x = 58,073,637.00
  5. Step 5: Solve for x
    x = 58,073,637.00/8,644.64
  6. Step 6: Final answer
    x = 6,717.88

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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.