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Finding the Fourth Proportional to 10,012.54, 13,819.02 and 5,823.22

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Solution

The fourth proportional to 10,012.54, 13,819.02 and 5,823.22 is: 8,037.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.54 : 13,819.02 = 5,823.22 : x
  2. Step 2: Convert to fraction form
    10,012.54/13,819.02 = 5,823.22/x
  3. Step 3: Cross multiply
    10,012.54x = 13,819.02 × 5,823.22
  4. Step 4: Simplify right side
    10,012.54x = 80,471,193.64
  5. Step 5: Solve for x
    x = 80,471,193.64/10,012.54
  6. Step 6: Final answer
    x = 8,037.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.