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Finding the Fourth Proportional to 7,560.73, 11,351.38 and 5,214.94

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Solution

The fourth proportional to 7,560.73, 11,351.38 and 5,214.94 is: 7,829.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,560.73 : 11,351.38 = 5,214.94 : x
  2. Step 2: Convert to fraction form
    7,560.73/11,351.38 = 5,214.94/x
  3. Step 3: Cross multiply
    7,560.73x = 11,351.38 × 5,214.94
  4. Step 4: Simplify right side
    7,560.73x = 59,196,765.62
  5. Step 5: Solve for x
    x = 59,196,765.62/7,560.73
  6. Step 6: Final answer
    x = 7,829.50

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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.