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Finding the Fourth Proportional to 10,453.98, 15,682.36 and 5,523.82

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Solution

The fourth proportional to 10,453.98, 15,682.36 and 5,523.82 is: 8,286.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.98 : 15,682.36 = 5,523.82 : x
  2. Step 2: Convert to fraction form
    10,453.98/15,682.36 = 5,523.82/x
  3. Step 3: Cross multiply
    10,453.98x = 15,682.36 × 5,523.82
  4. Step 4: Simplify right side
    10,453.98x = 86,626,533.82
  5. Step 5: Solve for x
    x = 86,626,533.82/10,453.98
  6. Step 6: Final answer
    x = 8,286.46

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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.