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Finding the Fourth Proportional to 7,858.57, 10,839.17 and 5,336.30

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Solution

The fourth proportional to 7,858.57, 10,839.17 and 5,336.30 is: 7,360.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.57 : 10,839.17 = 5,336.30 : x
  2. Step 2: Convert to fraction form
    7,858.57/10,839.17 = 5,336.30/x
  3. Step 3: Cross multiply
    7,858.57x = 10,839.17 × 5,336.30
  4. Step 4: Simplify right side
    7,858.57x = 57,841,062.87
  5. Step 5: Solve for x
    x = 57,841,062.87/7,858.57
  6. Step 6: Final answer
    x = 7,360.25

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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.