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Finding the Fourth Proportional to 7,805.07, 10,771.25 and 4,268.28

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Solution

The fourth proportional to 7,805.07, 10,771.25 and 4,268.28 is: 5,890.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.07 : 10,771.25 = 4,268.28 : x
  2. Step 2: Convert to fraction form
    7,805.07/10,771.25 = 4,268.28/x
  3. Step 3: Cross multiply
    7,805.07x = 10,771.25 × 4,268.28
  4. Step 4: Simplify right side
    7,805.07x = 45,974,635.75
  5. Step 5: Solve for x
    x = 45,974,635.75/7,805.07
  6. Step 6: Final answer
    x = 5,890.36

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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.