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Finding the Fourth Proportional to 6,894.50, 10,345.63 and 3,731.85

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Solution

The fourth proportional to 6,894.50, 10,345.63 and 3,731.85 is: 5,599.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.50 : 10,345.63 = 3,731.85 : x
  2. Step 2: Convert to fraction form
    6,894.50/10,345.63 = 3,731.85/x
  3. Step 3: Cross multiply
    6,894.50x = 10,345.63 × 3,731.85
  4. Step 4: Simplify right side
    6,894.50x = 38,608,355.85
  5. Step 5: Solve for x
    x = 38,608,355.85/6,894.50
  6. Step 6: Final answer
    x = 5,599.88

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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.