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Finding the Fourth Proportional to 7,652.92, 11,486.60 and 3,760.12

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Solution

The fourth proportional to 7,652.92, 11,486.60 and 3,760.12 is: 5,643.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.92 : 11,486.60 = 3,760.12 : x
  2. Step 2: Convert to fraction form
    7,652.92/11,486.60 = 3,760.12/x
  3. Step 3: Cross multiply
    7,652.92x = 11,486.60 × 3,760.12
  4. Step 4: Simplify right side
    7,652.92x = 43,190,994.39
  5. Step 5: Solve for x
    x = 43,190,994.39/7,652.92
  6. Step 6: Final answer
    x = 5,643.73

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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.