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Finding the Fourth Proportional to 7,816.74, 11,717.01 and 5,863.02

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Solution

The fourth proportional to 7,816.74, 11,717.01 and 5,863.02 is: 8,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.74 : 11,717.01 = 5,863.02 : x
  2. Step 2: Convert to fraction form
    7,816.74/11,717.01 = 5,863.02/x
  3. Step 3: Cross multiply
    7,816.74x = 11,717.01 × 5,863.02
  4. Step 4: Simplify right side
    7,816.74x = 68,697,063.97
  5. Step 5: Solve for x
    x = 68,697,063.97/7,816.74
  6. Step 6: Final answer
    x = 8,788.45

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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.