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Finding the Fourth Proportional to 10,221.58, 14,105.82 and 5,745.52

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Solution

The fourth proportional to 10,221.58, 14,105.82 and 5,745.52 is: 7,928.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,221.58 : 14,105.82 = 5,745.52 : x
  2. Step 2: Convert to fraction form
    10,221.58/14,105.82 = 5,745.52/x
  3. Step 3: Cross multiply
    10,221.58x = 14,105.82 × 5,745.52
  4. Step 4: Simplify right side
    10,221.58x = 81,045,270.93
  5. Step 5: Solve for x
    x = 81,045,270.93/10,221.58
  6. Step 6: Final answer
    x = 7,928.84

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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.