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Finding the Fourth Proportional to 25,309.82, 37,963.77 and 7,779.19

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Solution

The fourth proportional to 25,309.82, 37,963.77 and 7,779.19 is: 11,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,309.82 : 37,963.77 = 7,779.19 : x
  2. Step 2: Convert to fraction form
    25,309.82/37,963.77 = 7,779.19/x
  3. Step 3: Cross multiply
    25,309.82x = 37,963.77 × 7,779.19
  4. Step 4: Simplify right side
    25,309.82x = 295,327,379.95
  5. Step 5: Solve for x
    x = 295,327,379.95/25,309.82
  6. Step 6: Final answer
    x = 11,668.49

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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.