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Finding the Fourth Proportional to 7,452.68, 10,282.82 and 5,963.63

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Solution

The fourth proportional to 7,452.68, 10,282.82 and 5,963.63 is: 8,228.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452.68 : 10,282.82 = 5,963.63 : x
  2. Step 2: Convert to fraction form
    7,452.68/10,282.82 = 5,963.63/x
  3. Step 3: Cross multiply
    7,452.68x = 10,282.82 × 5,963.63
  4. Step 4: Simplify right side
    7,452.68x = 61,322,852.60
  5. Step 5: Solve for x
    x = 61,322,852.60/7,452.68
  6. Step 6: Final answer
    x = 8,228.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.