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Finding the Fourth Proportional to 10,771.65, 14,863.50 and 6,055.02

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Solution

The fourth proportional to 10,771.65, 14,863.50 and 6,055.02 is: 8,355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.65 : 14,863.50 = 6,055.02 : x
  2. Step 2: Convert to fraction form
    10,771.65/14,863.50 = 6,055.02/x
  3. Step 3: Cross multiply
    10,771.65x = 14,863.50 × 6,055.02
  4. Step 4: Simplify right side
    10,771.65x = 89,998,789.77
  5. Step 5: Solve for x
    x = 89,998,789.77/10,771.65
  6. Step 6: Final answer
    x = 8,355.15

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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.