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Finding the Fourth Proportional to 7,774, 11,662.08 and 2,578.48

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Solution

The fourth proportional to 7,774, 11,662.08 and 2,578.48 is: 3,868.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774 : 11,662.08 = 2,578.48 : x
  2. Step 2: Convert to fraction form
    7,774/11,662.08 = 2,578.48/x
  3. Step 3: Cross multiply
    7,774x = 11,662.08 × 2,578.48
  4. Step 4: Simplify right side
    7,774x = 30,070,440.04
  5. Step 5: Solve for x
    x = 30,070,440.04/7,774
  6. Step 6: Final answer
    x = 3,868.08

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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.