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Finding the Fourth Proportional to 10,722.87, 16,071.87 and 6,344.01

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Solution

The fourth proportional to 10,722.87, 16,071.87 and 6,344.01 is: 9,508.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.87 : 16,071.87 = 6,344.01 : x
  2. Step 2: Convert to fraction form
    10,722.87/16,071.87 = 6,344.01/x
  3. Step 3: Cross multiply
    10,722.87x = 16,071.87 × 6,344.01
  4. Step 4: Simplify right side
    10,722.87x = 101,960,104.00
  5. Step 5: Solve for x
    x = 101,960,104.00/10,722.87
  6. Step 6: Final answer
    x = 9,508.66

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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.