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Finding the Fourth Proportional to 10,755.84, 16,164 and 6,373.92

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Solution

The fourth proportional to 10,755.84, 16,164 and 6,373.92 is: 9,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.84 : 16,164 = 6,373.92 : x
  2. Step 2: Convert to fraction form
    10,755.84/16,164 = 6,373.92/x
  3. Step 3: Cross multiply
    10,755.84x = 16,164 × 6,373.92
  4. Step 4: Simplify right side
    10,755.84x = 103,028,042.88
  5. Step 5: Solve for x
    x = 103,028,042.88/10,755.84
  6. Step 6: Final answer
    x = 9,578.80

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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.