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Finding the Fourth Proportional to 10,744.77, 16,117.16 and 3,349.83

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Solution

The fourth proportional to 10,744.77, 16,117.16 and 3,349.83 is: 5,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.77 : 16,117.16 = 3,349.83 : x
  2. Step 2: Convert to fraction form
    10,744.77/16,117.16 = 3,349.83/x
  3. Step 3: Cross multiply
    10,744.77x = 16,117.16 × 3,349.83
  4. Step 4: Simplify right side
    10,744.77x = 53,989,665.50
  5. Step 5: Solve for x
    x = 53,989,665.50/10,744.77
  6. Step 6: Final answer
    x = 5,024.74

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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.