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Finding the Fourth Proportional to 7,682.64, 11,524.56 and 2,488.68

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Solution

The fourth proportional to 7,682.64, 11,524.56 and 2,488.68 is: 3,733.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.64 : 11,524.56 = 2,488.68 : x
  2. Step 2: Convert to fraction form
    7,682.64/11,524.56 = 2,488.68/x
  3. Step 3: Cross multiply
    7,682.64x = 11,524.56 × 2,488.68
  4. Step 4: Simplify right side
    7,682.64x = 28,680,941.98
  5. Step 5: Solve for x
    x = 28,680,941.98/7,682.64
  6. Step 6: Final answer
    x = 3,733.21

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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.