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Finding the Fourth Proportional to 10,730.62, 16,092.69 and 3,803.50

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Solution

The fourth proportional to 10,730.62, 16,092.69 and 3,803.50 is: 5,704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.62 : 16,092.69 = 3,803.50 : x
  2. Step 2: Convert to fraction form
    10,730.62/16,092.69 = 3,803.50/x
  3. Step 3: Cross multiply
    10,730.62x = 16,092.69 × 3,803.50
  4. Step 4: Simplify right side
    10,730.62x = 61,208,546.42
  5. Step 5: Solve for x
    x = 61,208,546.42/10,730.62
  6. Step 6: Final answer
    x = 5,704.10

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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.