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Finding the Fourth Proportional to 10,491.30, 15,733.28 and 3,093.80

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Solution

The fourth proportional to 10,491.30, 15,733.28 and 3,093.80 is: 4,639.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.30 : 15,733.28 = 3,093.80 : x
  2. Step 2: Convert to fraction form
    10,491.30/15,733.28 = 3,093.80/x
  3. Step 3: Cross multiply
    10,491.30x = 15,733.28 × 3,093.80
  4. Step 4: Simplify right side
    10,491.30x = 48,675,550.73
  5. Step 5: Solve for x
    x = 48,675,550.73/10,491.30
  6. Step 6: Final answer
    x = 4,639.61

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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.