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Finding the Fourth Proportional to 11,793.25, 16,275.14 and 6,487.95

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Solution

The fourth proportional to 11,793.25, 16,275.14 and 6,487.95 is: 8,953.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.25 : 16,275.14 = 6,487.95 : x
  2. Step 2: Convert to fraction form
    11,793.25/16,275.14 = 6,487.95/x
  3. Step 3: Cross multiply
    11,793.25x = 16,275.14 × 6,487.95
  4. Step 4: Simplify right side
    11,793.25x = 105,592,294.56
  5. Step 5: Solve for x
    x = 105,592,294.56/11,793.25
  6. Step 6: Final answer
    x = 8,953.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.