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Finding the Fourth Proportional to 10,139.43, 13,991.03 and 5,662.61

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Solution

The fourth proportional to 10,139.43, 13,991.03 and 5,662.61 is: 7,813.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.43 : 13,991.03 = 5,662.61 : x
  2. Step 2: Convert to fraction form
    10,139.43/13,991.03 = 5,662.61/x
  3. Step 3: Cross multiply
    10,139.43x = 13,991.03 × 5,662.61
  4. Step 4: Simplify right side
    10,139.43x = 79,225,721.82
  5. Step 5: Solve for x
    x = 79,225,721.82/10,139.43
  6. Step 6: Final answer
    x = 7,813.63

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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.