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Finding the Fourth Proportional to 7,617.22, 10,512 and 4,260.18

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Solution

The fourth proportional to 7,617.22, 10,512 and 4,260.18 is: 5,879.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.22 : 10,512 = 4,260.18 : x
  2. Step 2: Convert to fraction form
    7,617.22/10,512 = 4,260.18/x
  3. Step 3: Cross multiply
    7,617.22x = 10,512 × 4,260.18
  4. Step 4: Simplify right side
    7,617.22x = 44,783,012.16
  5. Step 5: Solve for x
    x = 44,783,012.16/7,617.22
  6. Step 6: Final answer
    x = 5,879.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.