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Finding the Fourth Proportional to 7,560.54, 11,347.83 and 3,865.41

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Solution

The fourth proportional to 7,560.54, 11,347.83 and 3,865.41 is: 5,801.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,560.54 : 11,347.83 = 3,865.41 : x
  2. Step 2: Convert to fraction form
    7,560.54/11,347.83 = 3,865.41/x
  3. Step 3: Cross multiply
    7,560.54x = 11,347.83 × 3,865.41
  4. Step 4: Simplify right side
    7,560.54x = 43,864,015.56
  5. Step 5: Solve for x
    x = 43,864,015.56/7,560.54
  6. Step 6: Final answer
    x = 5,801.70

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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.