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Finding the Fourth Proportional to 8,406.46, 11,599.84 and 5,049.87

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Solution

The fourth proportional to 8,406.46, 11,599.84 and 5,049.87 is: 6,968.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.46 : 11,599.84 = 5,049.87 : x
  2. Step 2: Convert to fraction form
    8,406.46/11,599.84 = 5,049.87/x
  3. Step 3: Cross multiply
    8,406.46x = 11,599.84 × 5,049.87
  4. Step 4: Simplify right side
    8,406.46x = 58,577,712.08
  5. Step 5: Solve for x
    x = 58,577,712.08/8,406.46
  6. Step 6: Final answer
    x = 6,968.18

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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.