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Finding the Fourth Proportional to 10,367.72, 14,306.03 and 6,118.97

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Solution

The fourth proportional to 10,367.72, 14,306.03 and 6,118.97 is: 8,443.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.72 : 14,306.03 = 6,118.97 : x
  2. Step 2: Convert to fraction form
    10,367.72/14,306.03 = 6,118.97/x
  3. Step 3: Cross multiply
    10,367.72x = 14,306.03 × 6,118.97
  4. Step 4: Simplify right side
    10,367.72x = 87,538,066.26
  5. Step 5: Solve for x
    x = 87,538,066.26/10,367.72
  6. Step 6: Final answer
    x = 8,443.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.