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Finding the Fourth Proportional to 10,473.97, 14,440.60 and 8,578.57

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Solution

The fourth proportional to 10,473.97, 14,440.60 and 8,578.57 is: 11,827.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.97 : 14,440.60 = 8,578.57 : x
  2. Step 2: Convert to fraction form
    10,473.97/14,440.60 = 8,578.57/x
  3. Step 3: Cross multiply
    10,473.97x = 14,440.60 × 8,578.57
  4. Step 4: Simplify right side
    10,473.97x = 123,879,697.94
  5. Step 5: Solve for x
    x = 123,879,697.94/10,473.97
  6. Step 6: Final answer
    x = 11,827.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.