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Finding the Fourth Proportional to 10,097.64, 15,147.90 and 3,172.68

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Solution

The fourth proportional to 10,097.64, 15,147.90 and 3,172.68 is: 4,759.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.64 : 15,147.90 = 3,172.68 : x
  2. Step 2: Convert to fraction form
    10,097.64/15,147.90 = 3,172.68/x
  3. Step 3: Cross multiply
    10,097.64x = 15,147.90 × 3,172.68
  4. Step 4: Simplify right side
    10,097.64x = 48,059,439.37
  5. Step 5: Solve for x
    x = 48,059,439.37/10,097.64
  6. Step 6: Final answer
    x = 4,759.47

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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.