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Finding the Fourth Proportional to 7,898.88, 11,832.48 and 4,092.96

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Solution

The fourth proportional to 7,898.88, 11,832.48 and 4,092.96 is: 6,131.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.88 : 11,832.48 = 4,092.96 : x
  2. Step 2: Convert to fraction form
    7,898.88/11,832.48 = 4,092.96/x
  3. Step 3: Cross multiply
    7,898.88x = 11,832.48 × 4,092.96
  4. Step 4: Simplify right side
    7,898.88x = 48,429,867.34
  5. Step 5: Solve for x
    x = 48,429,867.34/7,898.88
  6. Step 6: Final answer
    x = 6,131.23

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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.