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Finding the Fourth Proportional to 7,858.88, 10,845.92 and 4,322.80

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Solution

The fourth proportional to 7,858.88, 10,845.92 and 4,322.80 is: 5,965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.88 : 10,845.92 = 4,322.80 : x
  2. Step 2: Convert to fraction form
    7,858.88/10,845.92 = 4,322.80/x
  3. Step 3: Cross multiply
    7,858.88x = 10,845.92 × 4,322.80
  4. Step 4: Simplify right side
    7,858.88x = 46,884,742.98
  5. Step 5: Solve for x
    x = 46,884,742.98/7,858.88
  6. Step 6: Final answer
    x = 5,965.83

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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.