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Finding the Fourth Proportional to 10,706.36, 16,046.10 and 5,442.71

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Solution

The fourth proportional to 10,706.36, 16,046.10 and 5,442.71 is: 8,157.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.36 : 16,046.10 = 5,442.71 : x
  2. Step 2: Convert to fraction form
    10,706.36/16,046.10 = 5,442.71/x
  3. Step 3: Cross multiply
    10,706.36x = 16,046.10 × 5,442.71
  4. Step 4: Simplify right side
    10,706.36x = 87,334,188.70
  5. Step 5: Solve for x
    x = 87,334,188.70/10,706.36
  6. Step 6: Final answer
    x = 8,157.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.