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Finding the Fourth Proportional to 8,451.32, 11,655.74 and 6,331.84

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Solution

The fourth proportional to 8,451.32, 11,655.74 and 6,331.84 is: 8,732.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.32 : 11,655.74 = 6,331.84 : x
  2. Step 2: Convert to fraction form
    8,451.32/11,655.74 = 6,331.84/x
  3. Step 3: Cross multiply
    8,451.32x = 11,655.74 × 6,331.84
  4. Step 4: Simplify right side
    8,451.32x = 73,802,267.45
  5. Step 5: Solve for x
    x = 73,802,267.45/8,451.32
  6. Step 6: Final answer
    x = 8,732.64

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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.