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Finding the Fourth Proportional to 7,844.11, 11,771.83 and 4,552.81

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Solution

The fourth proportional to 7,844.11, 11,771.83 and 4,552.81 is: 6,832.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.11 : 11,771.83 = 4,552.81 : x
  2. Step 2: Convert to fraction form
    7,844.11/11,771.83 = 4,552.81/x
  3. Step 3: Cross multiply
    7,844.11x = 11,771.83 × 4,552.81
  4. Step 4: Simplify right side
    7,844.11x = 53,594,881.60
  5. Step 5: Solve for x
    x = 53,594,881.60/7,844.11
  6. Step 6: Final answer
    x = 6,832.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.