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Finding the Fourth Proportional to 11,191.65, 16,787.48 and 5,264.86

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Solution

The fourth proportional to 11,191.65, 16,787.48 and 5,264.86 is: 7,897.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,191.65 : 16,787.48 = 5,264.86 : x
  2. Step 2: Convert to fraction form
    11,191.65/16,787.48 = 5,264.86/x
  3. Step 3: Cross multiply
    11,191.65x = 16,787.48 × 5,264.86
  4. Step 4: Simplify right side
    11,191.65x = 88,383,663.66
  5. Step 5: Solve for x
    x = 88,383,663.66/11,191.65
  6. Step 6: Final answer
    x = 7,897.29

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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.