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Finding the Fourth Proportional to 25,296.04, 37,942.86 and 7,766.04

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Solution

The fourth proportional to 25,296.04, 37,942.86 and 7,766.04 is: 11,648.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,296.04 : 37,942.86 = 7,766.04 : x
  2. Step 2: Convert to fraction form
    25,296.04/37,942.86 = 7,766.04/x
  3. Step 3: Cross multiply
    25,296.04x = 37,942.86 × 7,766.04
  4. Step 4: Simplify right side
    25,296.04x = 294,665,768.47
  5. Step 5: Solve for x
    x = 294,665,768.47/25,296.04
  6. Step 6: Final answer
    x = 11,648.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.