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Finding the Fourth Proportional to 11,653.39, 16,082.85 and 7,115.82

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Solution

The fourth proportional to 11,653.39, 16,082.85 and 7,115.82 is: 9,820.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.39 : 16,082.85 = 7,115.82 : x
  2. Step 2: Convert to fraction form
    11,653.39/16,082.85 = 7,115.82/x
  3. Step 3: Cross multiply
    11,653.39x = 16,082.85 × 7,115.82
  4. Step 4: Simplify right side
    11,653.39x = 114,442,707.72
  5. Step 5: Solve for x
    x = 114,442,707.72/11,653.39
  6. Step 6: Final answer
    x = 9,820.55

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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.