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Finding the Fourth Proportional to 11,184.46, 16,776.64 and 2,864.46

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Solution

The fourth proportional to 11,184.46, 16,776.64 and 2,864.46 is: 4,296.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,184.46 : 16,776.64 = 2,864.46 : x
  2. Step 2: Convert to fraction form
    11,184.46/16,776.64 = 2,864.46/x
  3. Step 3: Cross multiply
    11,184.46x = 16,776.64 × 2,864.46
  4. Step 4: Simplify right side
    11,184.46x = 48,056,014.21
  5. Step 5: Solve for x
    x = 48,056,014.21/11,184.46
  6. Step 6: Final answer
    x = 4,296.68

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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.