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Finding the Fourth Proportional to 10,138.17, 13,990.64 and 5,661.91

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Solution

The fourth proportional to 10,138.17, 13,990.64 and 5,661.91 is: 7,813.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.17 : 13,990.64 = 5,661.91 : x
  2. Step 2: Convert to fraction form
    10,138.17/13,990.64 = 5,661.91/x
  3. Step 3: Cross multiply
    10,138.17x = 13,990.64 × 5,661.91
  4. Step 4: Simplify right side
    10,138.17x = 79,213,723.70
  5. Step 5: Solve for x
    x = 79,213,723.70/10,138.17
  6. Step 6: Final answer
    x = 7,813.41

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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.