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Finding the Fourth Proportional to 11,727.59, 17,583.18 and 5,881.01

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Solution

The fourth proportional to 11,727.59, 17,583.18 and 5,881.01 is: 8,817.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,727.59 : 17,583.18 = 5,881.01 : x
  2. Step 2: Convert to fraction form
    11,727.59/17,583.18 = 5,881.01/x
  3. Step 3: Cross multiply
    11,727.59x = 17,583.18 × 5,881.01
  4. Step 4: Simplify right side
    11,727.59x = 103,406,747.44
  5. Step 5: Solve for x
    x = 103,406,747.44/11,727.59
  6. Step 6: Final answer
    x = 8,817.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.