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Finding the Fourth Proportional to 10,095.96, 15,146.10 and 3,171

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Solution

The fourth proportional to 10,095.96, 15,146.10 and 3,171 is: 4,757.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.96 : 15,146.10 = 3,171 : x
  2. Step 2: Convert to fraction form
    10,095.96/15,146.10 = 3,171/x
  3. Step 3: Cross multiply
    10,095.96x = 15,146.10 × 3,171
  4. Step 4: Simplify right side
    10,095.96x = 48,028,283.10
  5. Step 5: Solve for x
    x = 48,028,283.10/10,095.96
  6. Step 6: Final answer
    x = 4,757.18

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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.