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Finding the Fourth Proportional to 10,867.88, 16,287.03 and 4,620.04

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Solution

The fourth proportional to 10,867.88, 16,287.03 and 4,620.04 is: 6,923.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,867.88 : 16,287.03 = 4,620.04 : x
  2. Step 2: Convert to fraction form
    10,867.88/16,287.03 = 4,620.04/x
  3. Step 3: Cross multiply
    10,867.88x = 16,287.03 × 4,620.04
  4. Step 4: Simplify right side
    10,867.88x = 75,246,730.08
  5. Step 5: Solve for x
    x = 75,246,730.08/10,867.88
  6. Step 6: Final answer
    x = 6,923.77

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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.