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Finding the Fourth Proportional to 10,838.52, 16,244.47 and 6,162.45

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Solution

The fourth proportional to 10,838.52, 16,244.47 and 6,162.45 is: 9,236.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.52 : 16,244.47 = 6,162.45 : x
  2. Step 2: Convert to fraction form
    10,838.52/16,244.47 = 6,162.45/x
  3. Step 3: Cross multiply
    10,838.52x = 16,244.47 × 6,162.45
  4. Step 4: Simplify right side
    10,838.52x = 100,105,734.15
  5. Step 5: Solve for x
    x = 100,105,734.15/10,838.52
  6. Step 6: Final answer
    x = 9,236.11

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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.