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Finding the Fourth Proportional to 7,805.27, 10,771.32 and 4,268.50

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Solution

The fourth proportional to 7,805.27, 10,771.32 and 4,268.50 is: 5,890.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.27 : 10,771.32 = 4,268.50 : x
  2. Step 2: Convert to fraction form
    7,805.27/10,771.32 = 4,268.50/x
  3. Step 3: Cross multiply
    7,805.27x = 10,771.32 × 4,268.50
  4. Step 4: Simplify right side
    7,805.27x = 45,977,368.50
  5. Step 5: Solve for x
    x = 45,977,368.50/7,805.27
  6. Step 6: Final answer
    x = 5,890.55

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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.