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Finding the Fourth Proportional to 7,838.93, 11,759.50 and 2,292.69

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Solution

The fourth proportional to 7,838.93, 11,759.50 and 2,292.69 is: 3,439.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.93 : 11,759.50 = 2,292.69 : x
  2. Step 2: Convert to fraction form
    7,838.93/11,759.50 = 2,292.69/x
  3. Step 3: Cross multiply
    7,838.93x = 11,759.50 × 2,292.69
  4. Step 4: Simplify right side
    7,838.93x = 26,960,888.06
  5. Step 5: Solve for x
    x = 26,960,888.06/7,838.93
  6. Step 6: Final answer
    x = 3,439.36

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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.