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Finding the Fourth Proportional to 6,859.32, 10,238.79 and 5,891.64

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Solution

The fourth proportional to 6,859.32, 10,238.79 and 5,891.64 is: 8,794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.32 : 10,238.79 = 5,891.64 : x
  2. Step 2: Convert to fraction form
    6,859.32/10,238.79 = 5,891.64/x
  3. Step 3: Cross multiply
    6,859.32x = 10,238.79 × 5,891.64
  4. Step 4: Simplify right side
    6,859.32x = 60,323,264.72
  5. Step 5: Solve for x
    x = 60,323,264.72/6,859.32
  6. Step 6: Final answer
    x = 8,794.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.