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Finding the Fourth Proportional to 7,746.01, 11,620.67 and 2,201.05

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Solution

The fourth proportional to 7,746.01, 11,620.67 and 2,201.05 is: 3,302.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.01 : 11,620.67 = 2,201.05 : x
  2. Step 2: Convert to fraction form
    7,746.01/11,620.67 = 2,201.05/x
  3. Step 3: Cross multiply
    7,746.01x = 11,620.67 × 2,201.05
  4. Step 4: Simplify right side
    7,746.01x = 25,577,664.70
  5. Step 5: Solve for x
    x = 25,577,664.70/7,746.01
  6. Step 6: Final answer
    x = 3,302.04

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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.