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Finding the Fourth Proportional to 11,218.38, 15,464.76 and 7,184.76

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Solution

The fourth proportional to 11,218.38, 15,464.76 and 7,184.76 is: 9,904.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,218.38 : 15,464.76 = 7,184.76 : x
  2. Step 2: Convert to fraction form
    11,218.38/15,464.76 = 7,184.76/x
  3. Step 3: Cross multiply
    11,218.38x = 15,464.76 × 7,184.76
  4. Step 4: Simplify right side
    11,218.38x = 111,110,589.06
  5. Step 5: Solve for x
    x = 111,110,589.06/11,218.38
  6. Step 6: Final answer
    x = 9,904.33

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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.