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Finding the Fourth Proportional to 10,114.88, 15,172.31 and 3,189.38

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Solution

The fourth proportional to 10,114.88, 15,172.31 and 3,189.38 is: 4,784.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.88 : 15,172.31 = 3,189.38 : x
  2. Step 2: Convert to fraction form
    10,114.88/15,172.31 = 3,189.38/x
  3. Step 3: Cross multiply
    10,114.88x = 15,172.31 × 3,189.38
  4. Step 4: Simplify right side
    10,114.88x = 48,390,194.18
  5. Step 5: Solve for x
    x = 48,390,194.18/10,114.88
  6. Step 6: Final answer
    x = 4,784.06

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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.