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Finding the Fourth Proportional to 6,911.64, 10,366.02 and 2,232.06

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Solution

The fourth proportional to 6,911.64, 10,366.02 and 2,232.06 is: 3,347.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.64 : 10,366.02 = 2,232.06 : x
  2. Step 2: Convert to fraction form
    6,911.64/10,366.02 = 2,232.06/x
  3. Step 3: Cross multiply
    6,911.64x = 10,366.02 × 2,232.06
  4. Step 4: Simplify right side
    6,911.64x = 23,137,578.60
  5. Step 5: Solve for x
    x = 23,137,578.60/6,911.64
  6. Step 6: Final answer
    x = 3,347.62

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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.