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Finding the Fourth Proportional to 10,894.94, 16,344.03 and 5,052.14

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Solution

The fourth proportional to 10,894.94, 16,344.03 and 5,052.14 is: 7,578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.94 : 16,344.03 = 5,052.14 : x
  2. Step 2: Convert to fraction form
    10,894.94/16,344.03 = 5,052.14/x
  3. Step 3: Cross multiply
    10,894.94x = 16,344.03 × 5,052.14
  4. Step 4: Simplify right side
    10,894.94x = 82,572,327.72
  5. Step 5: Solve for x
    x = 82,572,327.72/10,894.94
  6. Step 6: Final answer
    x = 7,578.96

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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.