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Finding the Fourth Proportional to 10,305.15, 14,221.05 and 5,589.42

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Solution

The fourth proportional to 10,305.15, 14,221.05 and 5,589.42 is: 7,713.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.15 : 14,221.05 = 5,589.42 : x
  2. Step 2: Convert to fraction form
    10,305.15/14,221.05 = 5,589.42/x
  3. Step 3: Cross multiply
    10,305.15x = 14,221.05 × 5,589.42
  4. Step 4: Simplify right side
    10,305.15x = 79,487,421.29
  5. Step 5: Solve for x
    x = 79,487,421.29/10,305.15
  6. Step 6: Final answer
    x = 7,713.37

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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.