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Finding the Fourth Proportional to 7,697.36, 10,622.22 and 4,340.18

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Solution

The fourth proportional to 7,697.36, 10,622.22 and 4,340.18 is: 5,989.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.36 : 10,622.22 = 4,340.18 : x
  2. Step 2: Convert to fraction form
    7,697.36/10,622.22 = 4,340.18/x
  3. Step 3: Cross multiply
    7,697.36x = 10,622.22 × 4,340.18
  4. Step 4: Simplify right side
    7,697.36x = 46,102,293.69
  5. Step 5: Solve for x
    x = 46,102,293.69/7,697.36
  6. Step 6: Final answer
    x = 5,989.37

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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.