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Finding the Fourth Proportional to 7,812.62, 11,727.02 and 5,233.58

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Solution

The fourth proportional to 7,812.62, 11,727.02 and 5,233.58 is: 7,855.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.62 : 11,727.02 = 5,233.58 : x
  2. Step 2: Convert to fraction form
    7,812.62/11,727.02 = 5,233.58/x
  3. Step 3: Cross multiply
    7,812.62x = 11,727.02 × 5,233.58
  4. Step 4: Simplify right side
    7,812.62x = 61,374,251.78
  5. Step 5: Solve for x
    x = 61,374,251.78/7,812.62
  6. Step 6: Final answer
    x = 7,855.79

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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.