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Finding the Fourth Proportional to 10,151.56, 13,983.13 and 7,162.16

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Solution

The fourth proportional to 10,151.56, 13,983.13 and 7,162.16 is: 9,865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.56 : 13,983.13 = 7,162.16 : x
  2. Step 2: Convert to fraction form
    10,151.56/13,983.13 = 7,162.16/x
  3. Step 3: Cross multiply
    10,151.56x = 13,983.13 × 7,162.16
  4. Step 4: Simplify right side
    10,151.56x = 100,149,353.40
  5. Step 5: Solve for x
    x = 100,149,353.40/10,151.56
  6. Step 6: Final answer
    x = 9,865.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.