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Finding the Fourth Proportional to 10,838.69, 16,256.33 and 3,442.17

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Solution

The fourth proportional to 10,838.69, 16,256.33 and 3,442.17 is: 5,162.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.69 : 16,256.33 = 3,442.17 : x
  2. Step 2: Convert to fraction form
    10,838.69/16,256.33 = 3,442.17/x
  3. Step 3: Cross multiply
    10,838.69x = 16,256.33 × 3,442.17
  4. Step 4: Simplify right side
    10,838.69x = 55,957,121.00
  5. Step 5: Solve for x
    x = 55,957,121.00/10,838.69
  6. Step 6: Final answer
    x = 5,162.72

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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.