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Finding the Fourth Proportional to 11,249.37, 16,838.66 and 7,718.74

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Solution

The fourth proportional to 11,249.37, 16,838.66 and 7,718.74 is: 11,553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249.37 : 16,838.66 = 7,718.74 : x
  2. Step 2: Convert to fraction form
    11,249.37/16,838.66 = 7,718.74/x
  3. Step 3: Cross multiply
    11,249.37x = 16,838.66 × 7,718.74
  4. Step 4: Simplify right side
    11,249.37x = 129,973,199.89
  5. Step 5: Solve for x
    x = 129,973,199.89/11,249.37
  6. Step 6: Final answer
    x = 11,553.82

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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.