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Finding the Fourth Proportional to 10,473.72, 14,440.32 and 8,578.32

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Solution

The fourth proportional to 10,473.72, 14,440.32 and 8,578.32 is: 11,827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.72 : 14,440.32 = 8,578.32 : x
  2. Step 2: Convert to fraction form
    10,473.72/14,440.32 = 8,578.32/x
  3. Step 3: Cross multiply
    10,473.72x = 14,440.32 × 8,578.32
  4. Step 4: Simplify right side
    10,473.72x = 123,873,685.86
  5. Step 5: Solve for x
    x = 123,873,685.86/10,473.72
  6. Step 6: Final answer
    x = 11,827.10

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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.