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Finding the Fourth Proportional to 10,722.88, 16,071.88 and 6,344

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Solution

The fourth proportional to 10,722.88, 16,071.88 and 6,344 is: 9,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.88 : 16,071.88 = 6,344 : x
  2. Step 2: Convert to fraction form
    10,722.88/16,071.88 = 6,344/x
  3. Step 3: Cross multiply
    10,722.88x = 16,071.88 × 6,344
  4. Step 4: Simplify right side
    10,722.88x = 101,960,006.72
  5. Step 5: Solve for x
    x = 101,960,006.72/10,722.88
  6. Step 6: Final answer
    x = 9,508.64

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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.