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Finding the Fourth Proportional to 8,727.84, 13,074 and 6,975.78

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Solution

The fourth proportional to 8,727.84, 13,074 and 6,975.78 is: 10,449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,727.84 : 13,074 = 6,975.78 : x
  2. Step 2: Convert to fraction form
    8,727.84/13,074 = 6,975.78/x
  3. Step 3: Cross multiply
    8,727.84x = 13,074 × 6,975.78
  4. Step 4: Simplify right side
    8,727.84x = 91,201,347.72
  5. Step 5: Solve for x
    x = 91,201,347.72/8,727.84
  6. Step 6: Final answer
    x = 10,449.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.