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Finding the Fourth Proportional to 6,528.52, 9,794.40 and 1,911.52

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Solution

The fourth proportional to 6,528.52, 9,794.40 and 1,911.52 is: 2,867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.52 : 9,794.40 = 1,911.52 : x
  2. Step 2: Convert to fraction form
    6,528.52/9,794.40 = 1,911.52/x
  3. Step 3: Cross multiply
    6,528.52x = 9,794.40 × 1,911.52
  4. Step 4: Simplify right side
    6,528.52x = 18,722,191.49
  5. Step 5: Solve for x
    x = 18,722,191.49/6,528.52
  6. Step 6: Final answer
    x = 2,867.75

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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.