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Finding the Fourth Proportional to 10,854.69, 16,284.47 and 3,835.23

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Solution

The fourth proportional to 10,854.69, 16,284.47 and 3,835.23 is: 5,753.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.69 : 16,284.47 = 3,835.23 : x
  2. Step 2: Convert to fraction form
    10,854.69/16,284.47 = 3,835.23/x
  3. Step 3: Cross multiply
    10,854.69x = 16,284.47 × 3,835.23
  4. Step 4: Simplify right side
    10,854.69x = 62,454,687.88
  5. Step 5: Solve for x
    x = 62,454,687.88/10,854.69
  6. Step 6: Final answer
    x = 5,753.71

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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.