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Finding the Fourth Proportional to 11,149, 16,724.90 and 4,127.83

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Solution

The fourth proportional to 11,149, 16,724.90 and 4,127.83 is: 6,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149 : 16,724.90 = 4,127.83 : x
  2. Step 2: Convert to fraction form
    11,149/16,724.90 = 4,127.83/x
  3. Step 3: Cross multiply
    11,149x = 16,724.90 × 4,127.83
  4. Step 4: Simplify right side
    11,149x = 69,037,543.97
  5. Step 5: Solve for x
    x = 69,037,543.97/11,149
  6. Step 6: Final answer
    x = 6,192.26

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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.