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Finding the Fourth Proportional to 10,815.92, 16,223.92 and 3,024.80

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Solution

The fourth proportional to 10,815.92, 16,223.92 and 3,024.80 is: 4,537.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,815.92 : 16,223.92 = 3,024.80 : x
  2. Step 2: Convert to fraction form
    10,815.92/16,223.92 = 3,024.80/x
  3. Step 3: Cross multiply
    10,815.92x = 16,223.92 × 3,024.80
  4. Step 4: Simplify right side
    10,815.92x = 49,074,113.22
  5. Step 5: Solve for x
    x = 49,074,113.22/10,815.92
  6. Step 6: Final answer
    x = 4,537.21

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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.