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Finding the Fourth Proportional to 10,578.24, 15,859.92 and 6,685.32

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Solution

The fourth proportional to 10,578.24, 15,859.92 and 6,685.32 is: 10,023.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.24 : 15,859.92 = 6,685.32 : x
  2. Step 2: Convert to fraction form
    10,578.24/15,859.92 = 6,685.32/x
  3. Step 3: Cross multiply
    10,578.24x = 15,859.92 × 6,685.32
  4. Step 4: Simplify right side
    10,578.24x = 106,028,640.37
  5. Step 5: Solve for x
    x = 106,028,640.37/10,578.24
  6. Step 6: Final answer
    x = 10,023.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.