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Finding the Fourth Proportional to 7,812.78, 11,716.02 and 2,881.32

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Solution

The fourth proportional to 7,812.78, 11,716.02 and 2,881.32 is: 4,320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.78 : 11,716.02 = 2,881.32 : x
  2. Step 2: Convert to fraction form
    7,812.78/11,716.02 = 2,881.32/x
  3. Step 3: Cross multiply
    7,812.78x = 11,716.02 × 2,881.32
  4. Step 4: Simplify right side
    7,812.78x = 33,757,616.61
  5. Step 5: Solve for x
    x = 33,757,616.61/7,812.78
  6. Step 6: Final answer
    x = 4,320.82

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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.