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Finding the Fourth Proportional to 10,580.13, 14,600.28 and 5,799.82

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Solution

The fourth proportional to 10,580.13, 14,600.28 and 5,799.82 is: 8,003.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.13 : 14,600.28 = 5,799.82 : x
  2. Step 2: Convert to fraction form
    10,580.13/14,600.28 = 5,799.82/x
  3. Step 3: Cross multiply
    10,580.13x = 14,600.28 × 5,799.82
  4. Step 4: Simplify right side
    10,580.13x = 84,678,990.44
  5. Step 5: Solve for x
    x = 84,678,990.44/10,580.13
  6. Step 6: Final answer
    x = 8,003.59

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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.