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Finding the Fourth Proportional to 10,704.30, 16,061.04 and 4,135.10

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Solution

The fourth proportional to 10,704.30, 16,061.04 and 4,135.10 is: 6,204.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.30 : 16,061.04 = 4,135.10 : x
  2. Step 2: Convert to fraction form
    10,704.30/16,061.04 = 4,135.10/x
  3. Step 3: Cross multiply
    10,704.30x = 16,061.04 × 4,135.10
  4. Step 4: Simplify right side
    10,704.30x = 66,414,006.50
  5. Step 5: Solve for x
    x = 66,414,006.50/10,704.30
  6. Step 6: Final answer
    x = 6,204.42

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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.