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Finding the Fourth Proportional to 7,838.99, 11,759.59 and 2,292.75

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Solution

The fourth proportional to 7,838.99, 11,759.59 and 2,292.75 is: 3,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.99 : 11,759.59 = 2,292.75 : x
  2. Step 2: Convert to fraction form
    7,838.99/11,759.59 = 2,292.75/x
  3. Step 3: Cross multiply
    7,838.99x = 11,759.59 × 2,292.75
  4. Step 4: Simplify right side
    7,838.99x = 26,961,794.24
  5. Step 5: Solve for x
    x = 26,961,794.24/7,838.99
  6. Step 6: Final answer
    x = 3,439.45

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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.