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Finding the Fourth Proportional to 7,524.96, 11,281.96 and 3,143.67

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Solution

The fourth proportional to 7,524.96, 11,281.96 and 3,143.67 is: 4,713.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.96 : 11,281.96 = 3,143.67 : x
  2. Step 2: Convert to fraction form
    7,524.96/11,281.96 = 3,143.67/x
  3. Step 3: Cross multiply
    7,524.96x = 11,281.96 × 3,143.67
  4. Step 4: Simplify right side
    7,524.96x = 35,466,759.19
  5. Step 5: Solve for x
    x = 35,466,759.19/7,524.96
  6. Step 6: Final answer
    x = 4,713.22

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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.