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Finding the Fourth Proportional to 7,765.78, 11,648.41 and 2,219.12

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Solution

The fourth proportional to 7,765.78, 11,648.41 and 2,219.12 is: 3,328.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.78 : 11,648.41 = 2,219.12 : x
  2. Step 2: Convert to fraction form
    7,765.78/11,648.41 = 2,219.12/x
  3. Step 3: Cross multiply
    7,765.78x = 11,648.41 × 2,219.12
  4. Step 4: Simplify right side
    7,765.78x = 25,849,161.36
  5. Step 5: Solve for x
    x = 25,849,161.36/7,765.78
  6. Step 6: Final answer
    x = 3,328.60

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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.