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Finding the Fourth Proportional to 6,716.82, 10,061.76 and 3,210.21

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Solution

The fourth proportional to 6,716.82, 10,061.76 and 3,210.21 is: 4,808.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.82 : 10,061.76 = 3,210.21 : x
  2. Step 2: Convert to fraction form
    6,716.82/10,061.76 = 3,210.21/x
  3. Step 3: Cross multiply
    6,716.82x = 10,061.76 × 3,210.21
  4. Step 4: Simplify right side
    6,716.82x = 32,300,362.57
  5. Step 5: Solve for x
    x = 32,300,362.57/6,716.82
  6. Step 6: Final answer
    x = 4,808.88

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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.