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Finding the Fourth Proportional to 10,672.50, 16,010.58 and 4,008.42

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Solution

The fourth proportional to 10,672.50, 16,010.58 and 4,008.42 is: 6,013.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.50 : 16,010.58 = 4,008.42 : x
  2. Step 2: Convert to fraction form
    10,672.50/16,010.58 = 4,008.42/x
  3. Step 3: Cross multiply
    10,672.50x = 16,010.58 × 4,008.42
  4. Step 4: Simplify right side
    10,672.50x = 64,177,129.08
  5. Step 5: Solve for x
    x = 64,177,129.08/10,672.50
  6. Step 6: Final answer
    x = 6,013.32

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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.