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Finding the Fourth Proportional to 11,693.82, 17,535.05 and 3,900

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Solution

The fourth proportional to 11,693.82, 17,535.05 and 3,900 is: 5,848.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.82 : 17,535.05 = 3,900 : x
  2. Step 2: Convert to fraction form
    11,693.82/17,535.05 = 3,900/x
  3. Step 3: Cross multiply
    11,693.82x = 17,535.05 × 3,900
  4. Step 4: Simplify right side
    11,693.82x = 68,386,675.50
  5. Step 5: Solve for x
    x = 68,386,675.50/11,693.82
  6. Step 6: Final answer
    x = 5,848.10

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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.