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Finding the Fourth Proportional to 10,775.57, 16,160.19 and 4,200.18

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Solution

The fourth proportional to 10,775.57, 16,160.19 and 4,200.18 is: 6,299.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.57 : 16,160.19 = 4,200.18 : x
  2. Step 2: Convert to fraction form
    10,775.57/16,160.19 = 4,200.18/x
  3. Step 3: Cross multiply
    10,775.57x = 16,160.19 × 4,200.18
  4. Step 4: Simplify right side
    10,775.57x = 67,875,706.83
  5. Step 5: Solve for x
    x = 67,875,706.83/10,775.57
  6. Step 6: Final answer
    x = 6,299.04

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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.