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Finding the Fourth Proportional to 7,001.75, 10,504.32 and 2,004.20

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Solution

The fourth proportional to 7,001.75, 10,504.32 and 2,004.20 is: 3,006.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.75 : 10,504.32 = 2,004.20 : x
  2. Step 2: Convert to fraction form
    7,001.75/10,504.32 = 2,004.20/x
  3. Step 3: Cross multiply
    7,001.75x = 10,504.32 × 2,004.20
  4. Step 4: Simplify right side
    7,001.75x = 21,052,748.12
  5. Step 5: Solve for x
    x = 21,052,748.12/7,001.75
  6. Step 6: Final answer
    x = 3,006.78

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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.