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Finding the Fourth Proportional to 10,693.45, 14,754.85 and 5,976.82

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Solution

The fourth proportional to 10,693.45, 14,754.85 and 5,976.82 is: 8,246.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.45 : 14,754.85 = 5,976.82 : x
  2. Step 2: Convert to fraction form
    10,693.45/14,754.85 = 5,976.82/x
  3. Step 3: Cross multiply
    10,693.45x = 14,754.85 × 5,976.82
  4. Step 4: Simplify right side
    10,693.45x = 88,187,082.58
  5. Step 5: Solve for x
    x = 88,187,082.58/10,693.45
  6. Step 6: Final answer
    x = 8,246.83

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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.