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Finding the Fourth Proportional to 7,504.66, 11,263.82 and 3,997.60

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Solution

The fourth proportional to 7,504.66, 11,263.82 and 3,997.60 is: 6,000.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,504.66 : 11,263.82 = 3,997.60 : x
  2. Step 2: Convert to fraction form
    7,504.66/11,263.82 = 3,997.60/x
  3. Step 3: Cross multiply
    7,504.66x = 11,263.82 × 3,997.60
  4. Step 4: Simplify right side
    7,504.66x = 45,028,246.83
  5. Step 5: Solve for x
    x = 45,028,246.83/7,504.66
  6. Step 6: Final answer
    x = 6,000.04

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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.