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Finding the Fourth Proportional to 7,150.42, 9,868.77 and 4,168

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Solution

The fourth proportional to 7,150.42, 9,868.77 and 4,168 is: 5,752.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,150.42 : 9,868.77 = 4,168 : x
  2. Step 2: Convert to fraction form
    7,150.42/9,868.77 = 4,168/x
  3. Step 3: Cross multiply
    7,150.42x = 9,868.77 × 4,168
  4. Step 4: Simplify right side
    7,150.42x = 41,133,033.36
  5. Step 5: Solve for x
    x = 41,133,033.36/7,150.42
  6. Step 6: Final answer
    x = 5,752.53

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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.