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Finding the Fourth Proportional to 7,774.80, 11,662.48 and 2,509.80

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Solution

The fourth proportional to 7,774.80, 11,662.48 and 2,509.80 is: 3,764.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.80 : 11,662.48 = 2,509.80 : x
  2. Step 2: Convert to fraction form
    7,774.80/11,662.48 = 2,509.80/x
  3. Step 3: Cross multiply
    7,774.80x = 11,662.48 × 2,509.80
  4. Step 4: Simplify right side
    7,774.80x = 29,270,492.30
  5. Step 5: Solve for x
    x = 29,270,492.30/7,774.80
  6. Step 6: Final answer
    x = 3,764.79

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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.