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Finding the Fourth Proportional to 7,812.74, 11,727.21 and 5,233.70

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Solution

The fourth proportional to 7,812.74, 11,727.21 and 5,233.70 is: 7,855.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.74 : 11,727.21 = 5,233.70 : x
  2. Step 2: Convert to fraction form
    7,812.74/11,727.21 = 5,233.70/x
  3. Step 3: Cross multiply
    7,812.74x = 11,727.21 × 5,233.70
  4. Step 4: Simplify right side
    7,812.74x = 61,376,698.98
  5. Step 5: Solve for x
    x = 61,376,698.98/7,812.74
  6. Step 6: Final answer
    x = 7,855.98

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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.