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Finding the Fourth Proportional to 7,520.52, 11,257.68 and 6,776.94

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Solution

The fourth proportional to 7,520.52, 11,257.68 and 6,776.94 is: 10,144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,520.52 : 11,257.68 = 6,776.94 : x
  2. Step 2: Convert to fraction form
    7,520.52/11,257.68 = 6,776.94/x
  3. Step 3: Cross multiply
    7,520.52x = 11,257.68 × 6,776.94
  4. Step 4: Simplify right side
    7,520.52x = 76,292,621.90
  5. Step 5: Solve for x
    x = 76,292,621.90/7,520.52
  6. Step 6: Final answer
    x = 10,144.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.