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Finding the Fourth Proportional to 7,704.72, 11,561.94 and 4,011.12

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Solution

The fourth proportional to 7,704.72, 11,561.94 and 4,011.12 is: 6,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.72 : 11,561.94 = 4,011.12 : x
  2. Step 2: Convert to fraction form
    7,704.72/11,561.94 = 4,011.12/x
  3. Step 3: Cross multiply
    7,704.72x = 11,561.94 × 4,011.12
  4. Step 4: Simplify right side
    7,704.72x = 46,376,328.77
  5. Step 5: Solve for x
    x = 46,376,328.77/7,704.72
  6. Step 6: Final answer
    x = 6,019.21

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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.