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Finding the Fourth Proportional to 7,850.78, 11,773.65 and 3,468.14

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Solution

The fourth proportional to 7,850.78, 11,773.65 and 3,468.14 is: 5,201.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.78 : 11,773.65 = 3,468.14 : x
  2. Step 2: Convert to fraction form
    7,850.78/11,773.65 = 3,468.14/x
  3. Step 3: Cross multiply
    7,850.78x = 11,773.65 × 3,468.14
  4. Step 4: Simplify right side
    7,850.78x = 40,832,666.51
  5. Step 5: Solve for x
    x = 40,832,666.51/7,850.78
  6. Step 6: Final answer
    x = 5,201.10

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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.