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Finding the Fourth Proportional to 7,763.32, 11,647.71 and 3,380.20

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Solution

The fourth proportional to 7,763.32, 11,647.71 and 3,380.20 is: 5,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.32 : 11,647.71 = 3,380.20 : x
  2. Step 2: Convert to fraction form
    7,763.32/11,647.71 = 3,380.20/x
  3. Step 3: Cross multiply
    7,763.32x = 11,647.71 × 3,380.20
  4. Step 4: Simplify right side
    7,763.32x = 39,371,589.34
  5. Step 5: Solve for x
    x = 39,371,589.34/7,763.32
  6. Step 6: Final answer
    x = 5,071.49

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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.