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Finding the Fourth Proportional to 10,771.73, 14,864.99 and 6,056.02

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Solution

The fourth proportional to 10,771.73, 14,864.99 and 6,056.02 is: 8,357.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.73 : 14,864.99 = 6,056.02 : x
  2. Step 2: Convert to fraction form
    10,771.73/14,864.99 = 6,056.02/x
  3. Step 3: Cross multiply
    10,771.73x = 14,864.99 × 6,056.02
  4. Step 4: Simplify right side
    10,771.73x = 90,022,632.52
  5. Step 5: Solve for x
    x = 90,022,632.52/10,771.73
  6. Step 6: Final answer
    x = 8,357.30

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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.