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Finding the Fourth Proportional to 7,840.80, 10,813.84 and 5,716.32

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Solution

The fourth proportional to 7,840.80, 10,813.84 and 5,716.32 is: 7,883.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.80 : 10,813.84 = 5,716.32 : x
  2. Step 2: Convert to fraction form
    7,840.80/10,813.84 = 5,716.32/x
  3. Step 3: Cross multiply
    7,840.80x = 10,813.84 × 5,716.32
  4. Step 4: Simplify right side
    7,840.80x = 61,815,369.87
  5. Step 5: Solve for x
    x = 61,815,369.87/7,840.80
  6. Step 6: Final answer
    x = 7,883.81

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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.