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Finding the Fourth Proportional to 8,186.96, 12,284.40 and 4,490.84

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Solution

The fourth proportional to 8,186.96, 12,284.40 and 4,490.84 is: 6,738.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.96 : 12,284.40 = 4,490.84 : x
  2. Step 2: Convert to fraction form
    8,186.96/12,284.40 = 4,490.84/x
  3. Step 3: Cross multiply
    8,186.96x = 12,284.40 × 4,490.84
  4. Step 4: Simplify right side
    8,186.96x = 55,167,274.90
  5. Step 5: Solve for x
    x = 55,167,274.90/8,186.96
  6. Step 6: Final answer
    x = 6,738.43

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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.