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Finding the Fourth Proportional to 10,672.89, 16,009.32 and 3,747.39

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Solution

The fourth proportional to 10,672.89, 16,009.32 and 3,747.39 is: 5,621.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.89 : 16,009.32 = 3,747.39 : x
  2. Step 2: Convert to fraction form
    10,672.89/16,009.32 = 3,747.39/x
  3. Step 3: Cross multiply
    10,672.89x = 16,009.32 × 3,747.39
  4. Step 4: Simplify right side
    10,672.89x = 59,993,165.67
  5. Step 5: Solve for x
    x = 59,993,165.67/10,672.89
  6. Step 6: Final answer
    x = 5,621.08

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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.