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Finding the Fourth Proportional to 7,752.10, 11,626.38 and 2,205.34

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Solution

The fourth proportional to 7,752.10, 11,626.38 and 2,205.34 is: 3,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.10 : 11,626.38 = 2,205.34 : x
  2. Step 2: Convert to fraction form
    7,752.10/11,626.38 = 2,205.34/x
  3. Step 3: Cross multiply
    7,752.10x = 11,626.38 × 2,205.34
  4. Step 4: Simplify right side
    7,752.10x = 25,640,120.87
  5. Step 5: Solve for x
    x = 25,640,120.87/7,752.10
  6. Step 6: Final answer
    x = 3,307.51

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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.