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Finding the Fourth Proportional to 10,770.54, 14,864.24 and 5,990.96

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Solution

The fourth proportional to 10,770.54, 14,864.24 and 5,990.96 is: 8,268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.54 : 14,864.24 = 5,990.96 : x
  2. Step 2: Convert to fraction form
    10,770.54/14,864.24 = 5,990.96/x
  3. Step 3: Cross multiply
    10,770.54x = 14,864.24 × 5,990.96
  4. Step 4: Simplify right side
    10,770.54x = 89,051,007.93
  5. Step 5: Solve for x
    x = 89,051,007.93/10,770.54
  6. Step 6: Final answer
    x = 8,268.02

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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.