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Finding the Fourth Proportional to 7,580.76, 11,372.22 and 3,682.50

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Solution

The fourth proportional to 7,580.76, 11,372.22 and 3,682.50 is: 5,524.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.76 : 11,372.22 = 3,682.50 : x
  2. Step 2: Convert to fraction form
    7,580.76/11,372.22 = 3,682.50/x
  3. Step 3: Cross multiply
    7,580.76x = 11,372.22 × 3,682.50
  4. Step 4: Simplify right side
    7,580.76x = 41,878,200.15
  5. Step 5: Solve for x
    x = 41,878,200.15/7,580.76
  6. Step 6: Final answer
    x = 5,524.27

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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.