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Finding the Fourth Proportional to 10,981, 16,456.50 and 5,054.44

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Solution

The fourth proportional to 10,981, 16,456.50 and 5,054.44 is: 7,574.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,981 : 16,456.50 = 5,054.44 : x
  2. Step 2: Convert to fraction form
    10,981/16,456.50 = 5,054.44/x
  3. Step 3: Cross multiply
    10,981x = 16,456.50 × 5,054.44
  4. Step 4: Simplify right side
    10,981x = 83,178,391.86
  5. Step 5: Solve for x
    x = 83,178,391.86/10,981
  6. Step 6: Final answer
    x = 7,574.76

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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.