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Finding the Fourth Proportional to 7,785.25, 11,682.74 and 3,168.25

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Solution

The fourth proportional to 7,785.25, 11,682.74 and 3,168.25 is: 4,754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.25 : 11,682.74 = 3,168.25 : x
  2. Step 2: Convert to fraction form
    7,785.25/11,682.74 = 3,168.25/x
  3. Step 3: Cross multiply
    7,785.25x = 11,682.74 × 3,168.25
  4. Step 4: Simplify right side
    7,785.25x = 37,013,841.01
  5. Step 5: Solve for x
    x = 37,013,841.01/7,785.25
  6. Step 6: Final answer
    x = 4,754.35

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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.