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Finding the Fourth Proportional to 11,815.71, 17,727.02 and 3,495.93

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Solution

The fourth proportional to 11,815.71, 17,727.02 and 3,495.93 is: 5,244.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,815.71 : 17,727.02 = 3,495.93 : x
  2. Step 2: Convert to fraction form
    11,815.71/17,727.02 = 3,495.93/x
  3. Step 3: Cross multiply
    11,815.71x = 17,727.02 × 3,495.93
  4. Step 4: Simplify right side
    11,815.71x = 61,972,350.18
  5. Step 5: Solve for x
    x = 61,972,350.18/11,815.71
  6. Step 6: Final answer
    x = 5,244.91

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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.