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Finding the Fourth Proportional to 7,183.76, 9,913.46 and 4,389.26

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Solution

The fourth proportional to 7,183.76, 9,913.46 and 4,389.26 is: 6,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.76 : 9,913.46 = 4,389.26 : x
  2. Step 2: Convert to fraction form
    7,183.76/9,913.46 = 4,389.26/x
  3. Step 3: Cross multiply
    7,183.76x = 9,913.46 × 4,389.26
  4. Step 4: Simplify right side
    7,183.76x = 43,512,681.93
  5. Step 5: Solve for x
    x = 43,512,681.93/7,183.76
  6. Step 6: Final answer
    x = 6,057.09

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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.