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Finding the Fourth Proportional to 10,072.92, 13,900.16 and 5,596.68

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Solution

The fourth proportional to 10,072.92, 13,900.16 and 5,596.68 is: 7,723.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.92 : 13,900.16 = 5,596.68 : x
  2. Step 2: Convert to fraction form
    10,072.92/13,900.16 = 5,596.68/x
  3. Step 3: Cross multiply
    10,072.92x = 13,900.16 × 5,596.68
  4. Step 4: Simplify right side
    10,072.92x = 77,794,747.47
  5. Step 5: Solve for x
    x = 77,794,747.47/10,072.92
  6. Step 6: Final answer
    x = 7,723.16

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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.