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Finding the Fourth Proportional to 11,301.78, 15,596.85 and 6,824.64

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Solution

The fourth proportional to 11,301.78, 15,596.85 and 6,824.64 is: 9,418.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301.78 : 15,596.85 = 6,824.64 : x
  2. Step 2: Convert to fraction form
    11,301.78/15,596.85 = 6,824.64/x
  3. Step 3: Cross multiply
    11,301.78x = 15,596.85 × 6,824.64
  4. Step 4: Simplify right side
    11,301.78x = 106,442,886.38
  5. Step 5: Solve for x
    x = 106,442,886.38/11,301.78
  6. Step 6: Final answer
    x = 9,418.24

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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.