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Finding the Fourth Proportional to 10,823.52, 16,235.24 and 3,898

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Solution

The fourth proportional to 10,823.52, 16,235.24 and 3,898 is: 5,846.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.52 : 16,235.24 = 3,898 : x
  2. Step 2: Convert to fraction form
    10,823.52/16,235.24 = 3,898/x
  3. Step 3: Cross multiply
    10,823.52x = 16,235.24 × 3,898
  4. Step 4: Simplify right side
    10,823.52x = 63,284,965.52
  5. Step 5: Solve for x
    x = 63,284,965.52/10,823.52
  6. Step 6: Final answer
    x = 5,846.99

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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.