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Finding the Fourth Proportional to 7,742.52, 11,615.22 and 2,552.04

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Solution

The fourth proportional to 7,742.52, 11,615.22 and 2,552.04 is: 3,828.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.52 : 11,615.22 = 2,552.04 : x
  2. Step 2: Convert to fraction form
    7,742.52/11,615.22 = 2,552.04/x
  3. Step 3: Cross multiply
    7,742.52x = 11,615.22 × 2,552.04
  4. Step 4: Simplify right side
    7,742.52x = 29,642,506.05
  5. Step 5: Solve for x
    x = 29,642,506.05/7,742.52
  6. Step 6: Final answer
    x = 3,828.53

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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.