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Finding the Fourth Proportional to 10,032.28, 15,042.94 and 7,965.56

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Solution

The fourth proportional to 10,032.28, 15,042.94 and 7,965.56 is: 11,943.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.28 : 15,042.94 = 7,965.56 : x
  2. Step 2: Convert to fraction form
    10,032.28/15,042.94 = 7,965.56/x
  3. Step 3: Cross multiply
    10,032.28x = 15,042.94 × 7,965.56
  4. Step 4: Simplify right side
    10,032.28x = 119,825,441.15
  5. Step 5: Solve for x
    x = 119,825,441.15/10,032.28
  6. Step 6: Final answer
    x = 11,943.99

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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.