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Finding the Fourth Proportional to 11,424.35, 15,765.65 and 6,645.44

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Solution

The fourth proportional to 11,424.35, 15,765.65 and 6,645.44 is: 9,170.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.35 : 15,765.65 = 6,645.44 : x
  2. Step 2: Convert to fraction form
    11,424.35/15,765.65 = 6,645.44/x
  3. Step 3: Cross multiply
    11,424.35x = 15,765.65 × 6,645.44
  4. Step 4: Simplify right side
    11,424.35x = 104,769,647.91
  5. Step 5: Solve for x
    x = 104,769,647.91/11,424.35
  6. Step 6: Final answer
    x = 9,170.73

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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.