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Finding the Fourth Proportional to 8,645.38, 12,965.91 and 2,803.66

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Solution

The fourth proportional to 8,645.38, 12,965.91 and 2,803.66 is: 4,204.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.38 : 12,965.91 = 2,803.66 : x
  2. Step 2: Convert to fraction form
    8,645.38/12,965.91 = 2,803.66/x
  3. Step 3: Cross multiply
    8,645.38x = 12,965.91 × 2,803.66
  4. Step 4: Simplify right side
    8,645.38x = 36,352,003.23
  5. Step 5: Solve for x
    x = 36,352,003.23/8,645.38
  6. Step 6: Final answer
    x = 4,204.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.