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Finding the Fourth Proportional to 10,561.84, 14,575.24 and 5,846

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Solution

The fourth proportional to 10,561.84, 14,575.24 and 5,846 is: 8,067.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.84 : 14,575.24 = 5,846 : x
  2. Step 2: Convert to fraction form
    10,561.84/14,575.24 = 5,846/x
  3. Step 3: Cross multiply
    10,561.84x = 14,575.24 × 5,846
  4. Step 4: Simplify right side
    10,561.84x = 85,206,853.04
  5. Step 5: Solve for x
    x = 85,206,853.04/10,561.84
  6. Step 6: Final answer
    x = 8,067.43

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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.