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Finding the Fourth Proportional to 10,670.92, 16,006.30 and 5,742.88

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Solution

The fourth proportional to 10,670.92, 16,006.30 and 5,742.88 is: 8,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.92 : 16,006.30 = 5,742.88 : x
  2. Step 2: Convert to fraction form
    10,670.92/16,006.30 = 5,742.88/x
  3. Step 3: Cross multiply
    10,670.92x = 16,006.30 × 5,742.88
  4. Step 4: Simplify right side
    10,670.92x = 91,922,260.14
  5. Step 5: Solve for x
    x = 91,922,260.14/10,670.92
  6. Step 6: Final answer
    x = 8,614.28

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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.