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Finding the Fourth Proportional to 7,863.63, 11,797.50 and 6,867.18

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Solution

The fourth proportional to 7,863.63, 11,797.50 and 6,867.18 is: 10,302.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.63 : 11,797.50 = 6,867.18 : x
  2. Step 2: Convert to fraction form
    7,863.63/11,797.50 = 6,867.18/x
  3. Step 3: Cross multiply
    7,863.63x = 11,797.50 × 6,867.18
  4. Step 4: Simplify right side
    7,863.63x = 81,015,543.17
  5. Step 5: Solve for x
    x = 81,015,543.17/7,863.63
  6. Step 6: Final answer
    x = 10,302.56

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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.