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Finding the Fourth Proportional to 7,704.14, 11,564.19 and 4,744.72

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Solution

The fourth proportional to 7,704.14, 11,564.19 and 4,744.72 is: 7,121.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.14 : 11,564.19 = 4,744.72 : x
  2. Step 2: Convert to fraction form
    7,704.14/11,564.19 = 4,744.72/x
  3. Step 3: Cross multiply
    7,704.14x = 11,564.19 × 4,744.72
  4. Step 4: Simplify right side
    7,704.14x = 54,868,814.67
  5. Step 5: Solve for x
    x = 54,868,814.67/7,704.14
  6. Step 6: Final answer
    x = 7,121.99

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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.