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Finding the Fourth Proportional to 11,456.67, 15,810.48 and 6,352.09

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Solution

The fourth proportional to 11,456.67, 15,810.48 and 6,352.09 is: 8,766.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.67 : 15,810.48 = 6,352.09 : x
  2. Step 2: Convert to fraction form
    11,456.67/15,810.48 = 6,352.09/x
  3. Step 3: Cross multiply
    11,456.67x = 15,810.48 × 6,352.09
  4. Step 4: Simplify right side
    11,456.67x = 100,429,552.38
  5. Step 5: Solve for x
    x = 100,429,552.38/11,456.67
  6. Step 6: Final answer
    x = 8,766.03

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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.