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Finding the Fourth Proportional to 7,630.88, 11,443.44 and 3,524

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Solution

The fourth proportional to 7,630.88, 11,443.44 and 3,524 is: 5,284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.88 : 11,443.44 = 3,524 : x
  2. Step 2: Convert to fraction form
    7,630.88/11,443.44 = 3,524/x
  3. Step 3: Cross multiply
    7,630.88x = 11,443.44 × 3,524
  4. Step 4: Simplify right side
    7,630.88x = 40,326,682.56
  5. Step 5: Solve for x
    x = 40,326,682.56/7,630.88
  6. Step 6: Final answer
    x = 5,284.67

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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.