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Finding the Fourth Proportional to 10,706.92, 16,062.40 and 4,133.76

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Solution

The fourth proportional to 10,706.92, 16,062.40 and 4,133.76 is: 6,201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.92 : 16,062.40 = 4,133.76 : x
  2. Step 2: Convert to fraction form
    10,706.92/16,062.40 = 4,133.76/x
  3. Step 3: Cross multiply
    10,706.92x = 16,062.40 × 4,133.76
  4. Step 4: Simplify right side
    10,706.92x = 66,398,106.62
  5. Step 5: Solve for x
    x = 66,398,106.62/10,706.92
  6. Step 6: Final answer
    x = 6,201.42

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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.