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Finding the Fourth Proportional to 7,859.42, 10,846 and 4,322.62

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Solution

The fourth proportional to 7,859.42, 10,846 and 4,322.62 is: 5,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.42 : 10,846 = 4,322.62 : x
  2. Step 2: Convert to fraction form
    7,859.42/10,846 = 4,322.62/x
  3. Step 3: Cross multiply
    7,859.42x = 10,846 × 4,322.62
  4. Step 4: Simplify right side
    7,859.42x = 46,883,136.52
  5. Step 5: Solve for x
    x = 46,883,136.52/7,859.42
  6. Step 6: Final answer
    x = 5,965.22

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