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Finding the Fourth Proportional to 10,966.13, 15,133.25 and 5,930.34

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Solution

The fourth proportional to 10,966.13, 15,133.25 and 5,930.34 is: 8,183.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.13 : 15,133.25 = 5,930.34 : x
  2. Step 2: Convert to fraction form
    10,966.13/15,133.25 = 5,930.34/x
  3. Step 3: Cross multiply
    10,966.13x = 15,133.25 × 5,930.34
  4. Step 4: Simplify right side
    10,966.13x = 89,745,317.81
  5. Step 5: Solve for x
    x = 89,745,317.81/10,966.13
  6. Step 6: Final answer
    x = 8,183.86

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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.