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Finding the Fourth Proportional to 8,527.68, 11,760.96 and 5,169.84

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Solution

The fourth proportional to 8,527.68, 11,760.96 and 5,169.84 is: 7,129.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,527.68 : 11,760.96 = 5,169.84 : x
  2. Step 2: Convert to fraction form
    8,527.68/11,760.96 = 5,169.84/x
  3. Step 3: Cross multiply
    8,527.68x = 11,760.96 × 5,169.84
  4. Step 4: Simplify right side
    8,527.68x = 60,802,281.45
  5. Step 5: Solve for x
    x = 60,802,281.45/8,527.68
  6. Step 6: Final answer
    x = 7,129.99

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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.