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Finding the Fourth Proportional to 10,544.97, 15,794.13 and 6,835.98

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Solution

The fourth proportional to 10,544.97, 15,794.13 and 6,835.98 is: 10,238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544.97 : 15,794.13 = 6,835.98 : x
  2. Step 2: Convert to fraction form
    10,544.97/15,794.13 = 6,835.98/x
  3. Step 3: Cross multiply
    10,544.97x = 15,794.13 × 6,835.98
  4. Step 4: Simplify right side
    10,544.97x = 107,968,356.80
  5. Step 5: Solve for x
    x = 107,968,356.80/10,544.97
  6. Step 6: Final answer
    x = 10,238.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.