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Finding the Fourth Proportional to 7,774.26, 11,650.92 and 4,259

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Solution

The fourth proportional to 7,774.26, 11,650.92 and 4,259 is: 6,382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.26 : 11,650.92 = 4,259 : x
  2. Step 2: Convert to fraction form
    7,774.26/11,650.92 = 4,259/x
  3. Step 3: Cross multiply
    7,774.26x = 11,650.92 × 4,259
  4. Step 4: Simplify right side
    7,774.26x = 49,621,268.28
  5. Step 5: Solve for x
    x = 49,621,268.28/7,774.26
  6. Step 6: Final answer
    x = 6,382.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.