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Finding the Fourth Proportional to 10,771.58, 14,863.17 and 6,054.96

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Solution

The fourth proportional to 10,771.58, 14,863.17 and 6,054.96 is: 8,354.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.58 : 14,863.17 = 6,054.96 : x
  2. Step 2: Convert to fraction form
    10,771.58/14,863.17 = 6,054.96/x
  3. Step 3: Cross multiply
    10,771.58x = 14,863.17 × 6,054.96
  4. Step 4: Simplify right side
    10,771.58x = 89,995,899.82
  5. Step 5: Solve for x
    x = 89,995,899.82/10,771.58
  6. Step 6: Final answer
    x = 8,354.94

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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.