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Finding the Fourth Proportional to 7,523.66, 11,268.84 and 5,146.09

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Solution

The fourth proportional to 7,523.66, 11,268.84 and 5,146.09 is: 7,707.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.66 : 11,268.84 = 5,146.09 : x
  2. Step 2: Convert to fraction form
    7,523.66/11,268.84 = 5,146.09/x
  3. Step 3: Cross multiply
    7,523.66x = 11,268.84 × 5,146.09
  4. Step 4: Simplify right side
    7,523.66x = 57,990,464.84
  5. Step 5: Solve for x
    x = 57,990,464.84/7,523.66
  6. Step 6: Final answer
    x = 7,707.75

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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.