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Finding the Fourth Proportional to 10,838.91, 16,260.63 and 6,161.07

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Solution

The fourth proportional to 10,838.91, 16,260.63 and 6,161.07 is: 9,242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.91 : 16,260.63 = 6,161.07 : x
  2. Step 2: Convert to fraction form
    10,838.91/16,260.63 = 6,161.07/x
  3. Step 3: Cross multiply
    10,838.91x = 16,260.63 × 6,161.07
  4. Step 4: Simplify right side
    10,838.91x = 100,182,879.67
  5. Step 5: Solve for x
    x = 100,182,879.67/10,838.91
  6. Step 6: Final answer
    x = 9,242.89

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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.