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Finding the Fourth Proportional to 7,732.74, 11,588.78 and 4,027.20

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Solution

The fourth proportional to 7,732.74, 11,588.78 and 4,027.20 is: 6,035.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.74 : 11,588.78 = 4,027.20 : x
  2. Step 2: Convert to fraction form
    7,732.74/11,588.78 = 4,027.20/x
  3. Step 3: Cross multiply
    7,732.74x = 11,588.78 × 4,027.20
  4. Step 4: Simplify right side
    7,732.74x = 46,670,256.74
  5. Step 5: Solve for x
    x = 46,670,256.74/7,732.74
  6. Step 6: Final answer
    x = 6,035.41

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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.