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Finding the Fourth Proportional to 11,184.82, 15,438.49 and 7,205.92

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Solution

The fourth proportional to 11,184.82, 15,438.49 and 7,205.92 is: 9,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,184.82 : 15,438.49 = 7,205.92 : x
  2. Step 2: Convert to fraction form
    11,184.82/15,438.49 = 7,205.92/x
  3. Step 3: Cross multiply
    11,184.82x = 15,438.49 × 7,205.92
  4. Step 4: Simplify right side
    11,184.82x = 111,248,523.86
  5. Step 5: Solve for x
    x = 111,248,523.86/11,184.82
  6. Step 6: Final answer
    x = 9,946.38

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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.