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Finding the Fourth Proportional to 6,863.46, 10,287.15 and 6,084.95

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Solution

The fourth proportional to 6,863.46, 10,287.15 and 6,084.95 is: 9,120.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.46 : 10,287.15 = 6,084.95 : x
  2. Step 2: Convert to fraction form
    6,863.46/10,287.15 = 6,084.95/x
  3. Step 3: Cross multiply
    6,863.46x = 10,287.15 × 6,084.95
  4. Step 4: Simplify right side
    6,863.46x = 62,596,741.96
  5. Step 5: Solve for x
    x = 62,596,741.96/6,863.46
  6. Step 6: Final answer
    x = 9,120.30

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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.