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Finding the Fourth Proportional to 11,853.30, 17,780.22 and 4,062

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Solution

The fourth proportional to 11,853.30, 17,780.22 and 4,062 is: 6,093.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.30 : 17,780.22 = 4,062 : x
  2. Step 2: Convert to fraction form
    11,853.30/17,780.22 = 4,062/x
  3. Step 3: Cross multiply
    11,853.30x = 17,780.22 × 4,062
  4. Step 4: Simplify right side
    11,853.30x = 72,223,253.64
  5. Step 5: Solve for x
    x = 72,223,253.64/11,853.30
  6. Step 6: Final answer
    x = 6,093.09

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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.