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Finding the Fourth Proportional to 7,851.78, 11,775.15 and 3,469.14

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Solution

The fourth proportional to 7,851.78, 11,775.15 and 3,469.14 is: 5,202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.78 : 11,775.15 = 3,469.14 : x
  2. Step 2: Convert to fraction form
    7,851.78/11,775.15 = 3,469.14/x
  3. Step 3: Cross multiply
    7,851.78x = 11,775.15 × 3,469.14
  4. Step 4: Simplify right side
    7,851.78x = 40,849,643.87
  5. Step 5: Solve for x
    x = 40,849,643.87/7,851.78
  6. Step 6: Final answer
    x = 5,202.60

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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.