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Finding the Fourth Proportional to 10,009.14, 15,023.12 and 5,082.31

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Solution

The fourth proportional to 10,009.14, 15,023.12 and 5,082.31 is: 7,628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.14 : 15,023.12 = 5,082.31 : x
  2. Step 2: Convert to fraction form
    10,009.14/15,023.12 = 5,082.31/x
  3. Step 3: Cross multiply
    10,009.14x = 15,023.12 × 5,082.31
  4. Step 4: Simplify right side
    10,009.14x = 76,352,153.01
  5. Step 5: Solve for x
    x = 76,352,153.01/10,009.14
  6. Step 6: Final answer
    x = 7,628.24

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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.