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Finding the Fourth Proportional to 6,528.74, 9,791.48 and 5,489.51

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Solution

The fourth proportional to 6,528.74, 9,791.48 and 5,489.51 is: 8,232.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.74 : 9,791.48 = 5,489.51 : x
  2. Step 2: Convert to fraction form
    6,528.74/9,791.48 = 5,489.51/x
  3. Step 3: Cross multiply
    6,528.74x = 9,791.48 × 5,489.51
  4. Step 4: Simplify right side
    6,528.74x = 53,750,392.14
  5. Step 5: Solve for x
    x = 53,750,392.14/6,528.74
  6. Step 6: Final answer
    x = 8,232.90

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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.