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Finding the Fourth Proportional to 11,808.36, 17,712.54 and 4,017

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Solution

The fourth proportional to 11,808.36, 17,712.54 and 4,017 is: 6,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.36 : 17,712.54 = 4,017 : x
  2. Step 2: Convert to fraction form
    11,808.36/17,712.54 = 4,017/x
  3. Step 3: Cross multiply
    11,808.36x = 17,712.54 × 4,017
  4. Step 4: Simplify right side
    11,808.36x = 71,151,273.18
  5. Step 5: Solve for x
    x = 71,151,273.18/11,808.36
  6. Step 6: Final answer
    x = 6,025.50

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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.