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Finding the Fourth Proportional to 6,894.28, 10,329.12 and 3,966.45

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Solution

The fourth proportional to 6,894.28, 10,329.12 and 3,966.45 is: 5,942.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.28 : 10,329.12 = 3,966.45 : x
  2. Step 2: Convert to fraction form
    6,894.28/10,329.12 = 3,966.45/x
  3. Step 3: Cross multiply
    6,894.28x = 10,329.12 × 3,966.45
  4. Step 4: Simplify right side
    6,894.28x = 40,969,938.02
  5. Step 5: Solve for x
    x = 40,969,938.02/6,894.28
  6. Step 6: Final answer
    x = 5,942.60

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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.