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Finding the Fourth Proportional to 25,296.39, 37,945.68 and 7,766.91

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Solution

The fourth proportional to 25,296.39, 37,945.68 and 7,766.91 is: 11,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,296.39 : 37,945.68 = 7,766.91 : x
  2. Step 2: Convert to fraction form
    25,296.39/37,945.68 = 7,766.91/x
  3. Step 3: Cross multiply
    25,296.39x = 37,945.68 × 7,766.91
  4. Step 4: Simplify right side
    25,296.39x = 294,720,681.45
  5. Step 5: Solve for x
    x = 294,720,681.45/25,296.39
  6. Step 6: Final answer
    x = 11,650.70

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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.