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Finding the Fourth Proportional to 6,731.60, 10,097.40 and 3,815.60

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Solution

The fourth proportional to 6,731.60, 10,097.40 and 3,815.60 is: 5,723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.60 : 10,097.40 = 3,815.60 : x
  2. Step 2: Convert to fraction form
    6,731.60/10,097.40 = 3,815.60/x
  3. Step 3: Cross multiply
    6,731.60x = 10,097.40 × 3,815.60
  4. Step 4: Simplify right side
    6,731.60x = 38,527,639.44
  5. Step 5: Solve for x
    x = 38,527,639.44/6,731.60
  6. Step 6: Final answer
    x = 5,723.40

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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.