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Finding the Fourth Proportional to 7,524, 11,286.27 and 2,329.74

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Solution

The fourth proportional to 7,524, 11,286.27 and 2,329.74 is: 3,494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524 : 11,286.27 = 2,329.74 : x
  2. Step 2: Convert to fraction form
    7,524/11,286.27 = 2,329.74/x
  3. Step 3: Cross multiply
    7,524x = 11,286.27 × 2,329.74
  4. Step 4: Simplify right side
    7,524x = 26,294,074.67
  5. Step 5: Solve for x
    x = 26,294,074.67/7,524
  6. Step 6: Final answer
    x = 3,494.69

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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.