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Finding the Fourth Proportional to 11,871.88, 17,824.02 and 6,032.62

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Solution

The fourth proportional to 11,871.88, 17,824.02 and 6,032.62 is: 9,057.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.88 : 17,824.02 = 6,032.62 : x
  2. Step 2: Convert to fraction form
    11,871.88/17,824.02 = 6,032.62/x
  3. Step 3: Cross multiply
    11,871.88x = 17,824.02 × 6,032.62
  4. Step 4: Simplify right side
    11,871.88x = 107,525,539.53
  5. Step 5: Solve for x
    x = 107,525,539.53/11,871.88
  6. Step 6: Final answer
    x = 9,057.16

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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.