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Finding the Fourth Proportional to 7,689.27, 11,524.95 and 3,529.72

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Solution

The fourth proportional to 7,689.27, 11,524.95 and 3,529.72 is: 5,290.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.27 : 11,524.95 = 3,529.72 : x
  2. Step 2: Convert to fraction form
    7,689.27/11,524.95 = 3,529.72/x
  3. Step 3: Cross multiply
    7,689.27x = 11,524.95 × 3,529.72
  4. Step 4: Simplify right side
    7,689.27x = 40,679,860.92
  5. Step 5: Solve for x
    x = 40,679,860.92/7,689.27
  6. Step 6: Final answer
    x = 5,290.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.