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Finding the Fourth Proportional to 7,838.69, 11,758.79 and 2,291.91

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Solution

The fourth proportional to 7,838.69, 11,758.79 and 2,291.91 is: 3,438.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.69 : 11,758.79 = 2,291.91 : x
  2. Step 2: Convert to fraction form
    7,838.69/11,758.79 = 2,291.91/x
  3. Step 3: Cross multiply
    7,838.69x = 11,758.79 × 2,291.91
  4. Step 4: Simplify right side
    7,838.69x = 26,950,076.93
  5. Step 5: Solve for x
    x = 26,950,076.93/7,838.69
  6. Step 6: Final answer
    x = 3,438.09

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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.