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Finding the Fourth Proportional to 11,646.84, 17,471.18 and 3,855.66

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Solution

The fourth proportional to 11,646.84, 17,471.18 and 3,855.66 is: 5,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.84 : 17,471.18 = 3,855.66 : x
  2. Step 2: Convert to fraction form
    11,646.84/17,471.18 = 3,855.66/x
  3. Step 3: Cross multiply
    11,646.84x = 17,471.18 × 3,855.66
  4. Step 4: Simplify right side
    11,646.84x = 67,362,852.31
  5. Step 5: Solve for x
    x = 67,362,852.31/11,646.84
  6. Step 6: Final answer
    x = 5,783.79

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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.