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Finding the Fourth Proportional to 7,523.97, 11,287.05 and 2,330.25

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Solution

The fourth proportional to 7,523.97, 11,287.05 and 2,330.25 is: 3,495.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.97 : 11,287.05 = 2,330.25 : x
  2. Step 2: Convert to fraction form
    7,523.97/11,287.05 = 2,330.25/x
  3. Step 3: Cross multiply
    7,523.97x = 11,287.05 × 2,330.25
  4. Step 4: Simplify right side
    7,523.97x = 26,301,648.26
  5. Step 5: Solve for x
    x = 26,301,648.26/7,523.97
  6. Step 6: Final answer
    x = 3,495.71

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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.