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Finding the Fourth Proportional to 10,983.81, 16,544.88 and 10,002.86

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Solution

The fourth proportional to 10,983.81, 16,544.88 and 10,002.86 is: 15,067.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983.81 : 16,544.88 = 10,002.86 : x
  2. Step 2: Convert to fraction form
    10,983.81/16,544.88 = 10,002.86/x
  3. Step 3: Cross multiply
    10,983.81x = 16,544.88 × 10,002.86
  4. Step 4: Simplify right side
    10,983.81x = 165,496,035.63
  5. Step 5: Solve for x
    x = 165,496,035.63/10,983.81
  6. Step 6: Final answer
    x = 15,067.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.