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Finding the Fourth Proportional to 8,338.88, 11,507.23 and 4,561.31

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Solution

The fourth proportional to 8,338.88, 11,507.23 and 4,561.31 is: 6,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.88 : 11,507.23 = 4,561.31 : x
  2. Step 2: Convert to fraction form
    8,338.88/11,507.23 = 4,561.31/x
  3. Step 3: Cross multiply
    8,338.88x = 11,507.23 × 4,561.31
  4. Step 4: Simplify right side
    8,338.88x = 52,488,060.64
  5. Step 5: Solve for x
    x = 52,488,060.64/8,338.88
  6. Step 6: Final answer
    x = 6,294.38

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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.