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Finding the Fourth Proportional to 10,771.39, 14,863.17 and 6,291.88

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Solution

The fourth proportional to 10,771.39, 14,863.17 and 6,291.88 is: 8,682.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.39 : 14,863.17 = 6,291.88 : x
  2. Step 2: Convert to fraction form
    10,771.39/14,863.17 = 6,291.88/x
  3. Step 3: Cross multiply
    10,771.39x = 14,863.17 × 6,291.88
  4. Step 4: Simplify right side
    10,771.39x = 93,517,282.06
  5. Step 5: Solve for x
    x = 93,517,282.06/10,771.39
  6. Step 6: Final answer
    x = 8,682.01

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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.