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Finding the Fourth Proportional to 7,699.24, 11,548.25 and 3,751.71

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Solution

The fourth proportional to 7,699.24, 11,548.25 and 3,751.71 is: 5,627.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.24 : 11,548.25 = 3,751.71 : x
  2. Step 2: Convert to fraction form
    7,699.24/11,548.25 = 3,751.71/x
  3. Step 3: Cross multiply
    7,699.24x = 11,548.25 × 3,751.71
  4. Step 4: Simplify right side
    7,699.24x = 43,325,685.01
  5. Step 5: Solve for x
    x = 43,325,685.01/7,699.24
  6. Step 6: Final answer
    x = 5,627.27

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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.