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Finding the Fourth Proportional to 6,405.96, 8,821.98 and 5,881.08

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Solution

The fourth proportional to 6,405.96, 8,821.98 and 5,881.08 is: 8,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.96 : 8,821.98 = 5,881.08 : x
  2. Step 2: Convert to fraction form
    6,405.96/8,821.98 = 5,881.08/x
  3. Step 3: Cross multiply
    6,405.96x = 8,821.98 × 5,881.08
  4. Step 4: Simplify right side
    6,405.96x = 51,882,770.14
  5. Step 5: Solve for x
    x = 51,882,770.14/6,405.96
  6. Step 6: Final answer
    x = 8,099.14

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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.