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Finding the Fourth Proportional to 11,428.39, 15,770.68 and 7,183.81

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Solution

The fourth proportional to 11,428.39, 15,770.68 and 7,183.81 is: 9,913.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428.39 : 15,770.68 = 7,183.81 : x
  2. Step 2: Convert to fraction form
    11,428.39/15,770.68 = 7,183.81/x
  3. Step 3: Cross multiply
    11,428.39x = 15,770.68 × 7,183.81
  4. Step 4: Simplify right side
    11,428.39x = 113,293,568.69
  5. Step 5: Solve for x
    x = 113,293,568.69/11,428.39
  6. Step 6: Final answer
    x = 9,913.34

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Why These Related Problems?

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