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Finding the Fourth Proportional to 8,453.32, 12,661.92 and 6,864.88

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Solution

The fourth proportional to 8,453.32, 12,661.92 and 6,864.88 is: 10,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.32 : 12,661.92 = 6,864.88 : x
  2. Step 2: Convert to fraction form
    8,453.32/12,661.92 = 6,864.88/x
  3. Step 3: Cross multiply
    8,453.32x = 12,661.92 × 6,864.88
  4. Step 4: Simplify right side
    8,453.32x = 86,922,561.37
  5. Step 5: Solve for x
    x = 86,922,561.37/8,453.32
  6. Step 6: Final answer
    x = 10,282.65

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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.