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Finding the Fourth Proportional to 10,578.22, 14,593.83 and 6,800.86

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Solution

The fourth proportional to 10,578.22, 14,593.83 and 6,800.86 is: 9,382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.22 : 14,593.83 = 6,800.86 : x
  2. Step 2: Convert to fraction form
    10,578.22/14,593.83 = 6,800.86/x
  3. Step 3: Cross multiply
    10,578.22x = 14,593.83 × 6,800.86
  4. Step 4: Simplify right side
    10,578.22x = 99,250,521.72
  5. Step 5: Solve for x
    x = 99,250,521.72/10,578.22
  6. Step 6: Final answer
    x = 9,382.54

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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.