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Finding the Fourth Proportional to 10,838.15, 16,243.91 and 6,162.06

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Solution

The fourth proportional to 10,838.15, 16,243.91 and 6,162.06 is: 9,235.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.15 : 16,243.91 = 6,162.06 : x
  2. Step 2: Convert to fraction form
    10,838.15/16,243.91 = 6,162.06/x
  3. Step 3: Cross multiply
    10,838.15x = 16,243.91 × 6,162.06
  4. Step 4: Simplify right side
    10,838.15x = 100,095,948.05
  5. Step 5: Solve for x
    x = 100,095,948.05/10,838.15
  6. Step 6: Final answer
    x = 9,235.52

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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.