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Finding the Fourth Proportional to 7,362.39, 10,163.85 and 5,680.02

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Solution

The fourth proportional to 7,362.39, 10,163.85 and 5,680.02 is: 7,841.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,362.39 : 10,163.85 = 5,680.02 : x
  2. Step 2: Convert to fraction form
    7,362.39/10,163.85 = 5,680.02/x
  3. Step 3: Cross multiply
    7,362.39x = 10,163.85 × 5,680.02
  4. Step 4: Simplify right side
    7,362.39x = 57,730,871.28
  5. Step 5: Solve for x
    x = 57,730,871.28/7,362.39
  6. Step 6: Final answer
    x = 7,841.32

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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.