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Finding the Fourth Proportional to 10,771.68, 14,863.29 and 6,055.05

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Solution

The fourth proportional to 10,771.68, 14,863.29 and 6,055.05 is: 8,355.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.68 : 14,863.29 = 6,055.05 : x
  2. Step 2: Convert to fraction form
    10,771.68/14,863.29 = 6,055.05/x
  3. Step 3: Cross multiply
    10,771.68x = 14,863.29 × 6,055.05
  4. Step 4: Simplify right side
    10,771.68x = 89,997,964.11
  5. Step 5: Solve for x
    x = 89,997,964.11/10,771.68
  6. Step 6: Final answer
    x = 8,355.05

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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.