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Finding the Fourth Proportional to 6,707.74, 10,063.67 and 3,202.22

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Solution

The fourth proportional to 6,707.74, 10,063.67 and 3,202.22 is: 4,804.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.74 : 10,063.67 = 3,202.22 : x
  2. Step 2: Convert to fraction form
    6,707.74/10,063.67 = 3,202.22/x
  3. Step 3: Cross multiply
    6,707.74x = 10,063.67 × 3,202.22
  4. Step 4: Simplify right side
    6,707.74x = 32,226,085.35
  5. Step 5: Solve for x
    x = 32,226,085.35/6,707.74
  6. Step 6: Final answer
    x = 4,804.31

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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.