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Finding the Fourth Proportional to 7,698.53, 11,546.66 and 2,152.44

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Solution

The fourth proportional to 7,698.53, 11,546.66 and 2,152.44 is: 3,228.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.53 : 11,546.66 = 2,152.44 : x
  2. Step 2: Convert to fraction form
    7,698.53/11,546.66 = 2,152.44/x
  3. Step 3: Cross multiply
    7,698.53x = 11,546.66 × 2,152.44
  4. Step 4: Simplify right side
    7,698.53x = 24,853,498.23
  5. Step 5: Solve for x
    x = 24,853,498.23/7,698.53
  6. Step 6: Final answer
    x = 3,228.34

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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.