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Finding the Fourth Proportional to 6,889.52, 10,337.16 and 2,992.88

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Solution

The fourth proportional to 6,889.52, 10,337.16 and 2,992.88 is: 4,490.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.52 : 10,337.16 = 2,992.88 : x
  2. Step 2: Convert to fraction form
    6,889.52/10,337.16 = 2,992.88/x
  3. Step 3: Cross multiply
    6,889.52x = 10,337.16 × 2,992.88
  4. Step 4: Simplify right side
    6,889.52x = 30,937,879.42
  5. Step 5: Solve for x
    x = 30,937,879.42/6,889.52
  6. Step 6: Final answer
    x = 4,490.57

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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.