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Finding the Fourth Proportional to 12,191.64, 18,287.52 and 3,877.50

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Solution

The fourth proportional to 12,191.64, 18,287.52 and 3,877.50 is: 5,816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.64 : 18,287.52 = 3,877.50 : x
  2. Step 2: Convert to fraction form
    12,191.64/18,287.52 = 3,877.50/x
  3. Step 3: Cross multiply
    12,191.64x = 18,287.52 × 3,877.50
  4. Step 4: Simplify right side
    12,191.64x = 70,909,858.80
  5. Step 5: Solve for x
    x = 70,909,858.80/12,191.64
  6. Step 6: Final answer
    x = 5,816.27

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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.