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Finding the Fourth Proportional to 7,523.68, 11,286.48 and 2,846.56

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Solution

The fourth proportional to 7,523.68, 11,286.48 and 2,846.56 is: 4,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.68 : 11,286.48 = 2,846.56 : x
  2. Step 2: Convert to fraction form
    7,523.68/11,286.48 = 2,846.56/x
  3. Step 3: Cross multiply
    7,523.68x = 11,286.48 × 2,846.56
  4. Step 4: Simplify right side
    7,523.68x = 32,127,642.51
  5. Step 5: Solve for x
    x = 32,127,642.51/7,523.68
  6. Step 6: Final answer
    x = 4,270.20

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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.