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Finding the Fourth Proportional to 11,245.52, 15,518.94 and 6,209.65

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Solution

The fourth proportional to 11,245.52, 15,518.94 and 6,209.65 is: 8,569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,245.52 : 15,518.94 = 6,209.65 : x
  2. Step 2: Convert to fraction form
    11,245.52/15,518.94 = 6,209.65/x
  3. Step 3: Cross multiply
    11,245.52x = 15,518.94 × 6,209.65
  4. Step 4: Simplify right side
    11,245.52x = 96,367,129.52
  5. Step 5: Solve for x
    x = 96,367,129.52/11,245.52
  6. Step 6: Final answer
    x = 8,569.38

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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.