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Finding the Fourth Proportional to 6,960.16, 10,419.72 and 3,666.16

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Solution

The fourth proportional to 6,960.16, 10,419.72 and 3,666.16 is: 5,488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960.16 : 10,419.72 = 3,666.16 : x
  2. Step 2: Convert to fraction form
    6,960.16/10,419.72 = 3,666.16/x
  3. Step 3: Cross multiply
    6,960.16x = 10,419.72 × 3,666.16
  4. Step 4: Simplify right side
    6,960.16x = 38,200,360.68
  5. Step 5: Solve for x
    x = 38,200,360.68/6,960.16
  6. Step 6: Final answer
    x = 5,488.43

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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.