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Finding the Fourth Proportional to 8,334.01, 11,500.94 and 5,349.83

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Solution

The fourth proportional to 8,334.01, 11,500.94 and 5,349.83 is: 7,382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,334.01 : 11,500.94 = 5,349.83 : x
  2. Step 2: Convert to fraction form
    8,334.01/11,500.94 = 5,349.83/x
  3. Step 3: Cross multiply
    8,334.01x = 11,500.94 × 5,349.83
  4. Step 4: Simplify right side
    8,334.01x = 61,528,146.68
  5. Step 5: Solve for x
    x = 61,528,146.68/8,334.01
  6. Step 6: Final answer
    x = 7,382.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.