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Finding the Fourth Proportional to 7,385.56, 11,078.34 and 3,002

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Solution

The fourth proportional to 7,385.56, 11,078.34 and 3,002 is: 4,503

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,385.56 : 11,078.34 = 3,002 : x
  2. Step 2: Convert to fraction form
    7,385.56/11,078.34 = 3,002/x
  3. Step 3: Cross multiply
    7,385.56x = 11,078.34 × 3,002
  4. Step 4: Simplify right side
    7,385.56x = 33,257,176.68
  5. Step 5: Solve for x
    x = 33,257,176.68/7,385.56
  6. Step 6: Final answer
    x = 4,503

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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.