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Finding the Fourth Proportional to 7,841.28, 11,758.28 and 2,910.81

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Solution

The fourth proportional to 7,841.28, 11,758.28 and 2,910.81 is: 4,364.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.28 : 11,758.28 = 2,910.81 : x
  2. Step 2: Convert to fraction form
    7,841.28/11,758.28 = 2,910.81/x
  3. Step 3: Cross multiply
    7,841.28x = 11,758.28 × 2,910.81
  4. Step 4: Simplify right side
    7,841.28x = 34,226,104.45
  5. Step 5: Solve for x
    x = 34,226,104.45/7,841.28
  6. Step 6: Final answer
    x = 4,364.86

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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.