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Finding the Fourth Proportional to 7,712.98, 11,568.01 and 3,760.27

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Solution

The fourth proportional to 7,712.98, 11,568.01 and 3,760.27 is: 5,639.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.98 : 11,568.01 = 3,760.27 : x
  2. Step 2: Convert to fraction form
    7,712.98/11,568.01 = 3,760.27/x
  3. Step 3: Cross multiply
    7,712.98x = 11,568.01 × 3,760.27
  4. Step 4: Simplify right side
    7,712.98x = 43,498,802.64
  5. Step 5: Solve for x
    x = 43,498,802.64/7,712.98
  6. Step 6: Final answer
    x = 5,639.69

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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.