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Finding the Fourth Proportional to 10,580.44, 14,600.22 and 5,799.62

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Solution

The fourth proportional to 10,580.44, 14,600.22 and 5,799.62 is: 8,003.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.44 : 14,600.22 = 5,799.62 : x
  2. Step 2: Convert to fraction form
    10,580.44/14,600.22 = 5,799.62/x
  3. Step 3: Cross multiply
    10,580.44x = 14,600.22 × 5,799.62
  4. Step 4: Simplify right side
    10,580.44x = 84,675,727.92
  5. Step 5: Solve for x
    x = 84,675,727.92/10,580.44
  6. Step 6: Final answer
    x = 8,003.04

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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.