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Finding the Fourth Proportional to 7,838.70, 11,758.05 and 2,291.82

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Solution

The fourth proportional to 7,838.70, 11,758.05 and 2,291.82 is: 3,437.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.70 : 11,758.05 = 2,291.82 : x
  2. Step 2: Convert to fraction form
    7,838.70/11,758.05 = 2,291.82/x
  3. Step 3: Cross multiply
    7,838.70x = 11,758.05 × 2,291.82
  4. Step 4: Simplify right side
    7,838.70x = 26,947,334.15
  5. Step 5: Solve for x
    x = 26,947,334.15/7,838.70
  6. Step 6: Final answer
    x = 3,437.73

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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.