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Finding the Fourth Proportional to 10,561.79, 14,587.24 and 7,198.82

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Solution

The fourth proportional to 10,561.79, 14,587.24 and 7,198.82 is: 9,942.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.79 : 14,587.24 = 7,198.82 : x
  2. Step 2: Convert to fraction form
    10,561.79/14,587.24 = 7,198.82/x
  3. Step 3: Cross multiply
    10,561.79x = 14,587.24 × 7,198.82
  4. Step 4: Simplify right side
    10,561.79x = 105,010,974.38
  5. Step 5: Solve for x
    x = 105,010,974.38/10,561.79
  6. Step 6: Final answer
    x = 9,942.53

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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.