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Finding the Fourth Proportional to 27,189.08, 40,779 and 7,463

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Solution

The fourth proportional to 27,189.08, 40,779 and 7,463 is: 11,193.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,189.08 : 40,779 = 7,463 : x
  2. Step 2: Convert to fraction form
    27,189.08/40,779 = 7,463/x
  3. Step 3: Cross multiply
    27,189.08x = 40,779 × 7,463
  4. Step 4: Simplify right side
    27,189.08x = 304,333,677
  5. Step 5: Solve for x
    x = 304,333,677/27,189.08
  6. Step 6: Final answer
    x = 11,193.23

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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.