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Finding the Fourth Proportional to 6,817.64, 10,232.51 and 3,532.95

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Solution

The fourth proportional to 6,817.64, 10,232.51 and 3,532.95 is: 5,302.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.64 : 10,232.51 = 3,532.95 : x
  2. Step 2: Convert to fraction form
    6,817.64/10,232.51 = 3,532.95/x
  3. Step 3: Cross multiply
    6,817.64x = 10,232.51 × 3,532.95
  4. Step 4: Simplify right side
    6,817.64x = 36,150,928.54
  5. Step 5: Solve for x
    x = 36,150,928.54/6,817.64
  6. Step 6: Final answer
    x = 5,302.56

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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.