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Finding the Fourth Proportional to 8,407.82, 11,601.96 and 4,872.20

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Solution

The fourth proportional to 8,407.82, 11,601.96 and 4,872.20 is: 6,723.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.82 : 11,601.96 = 4,872.20 : x
  2. Step 2: Convert to fraction form
    8,407.82/11,601.96 = 4,872.20/x
  3. Step 3: Cross multiply
    8,407.82x = 11,601.96 × 4,872.20
  4. Step 4: Simplify right side
    8,407.82x = 56,527,069.51
  5. Step 5: Solve for x
    x = 56,527,069.51/8,407.82
  6. Step 6: Final answer
    x = 6,723.15

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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.