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Finding the Fourth Proportional to 10,108.22, 13,949 and 5,631.82

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Solution

The fourth proportional to 10,108.22, 13,949 and 5,631.82 is: 7,771.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108.22 : 13,949 = 5,631.82 : x
  2. Step 2: Convert to fraction form
    10,108.22/13,949 = 5,631.82/x
  3. Step 3: Cross multiply
    10,108.22x = 13,949 × 5,631.82
  4. Step 4: Simplify right side
    10,108.22x = 78,558,257.18
  5. Step 5: Solve for x
    x = 78,558,257.18/10,108.22
  6. Step 6: Final answer
    x = 7,771.72

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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.