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Finding the Fourth Proportional to 8,838, 12,198.64 and 5,114.16

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Solution

The fourth proportional to 8,838, 12,198.64 and 5,114.16 is: 7,058.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,838 : 12,198.64 = 5,114.16 : x
  2. Step 2: Convert to fraction form
    8,838/12,198.64 = 5,114.16/x
  3. Step 3: Cross multiply
    8,838x = 12,198.64 × 5,114.16
  4. Step 4: Simplify right side
    8,838x = 62,385,796.74
  5. Step 5: Solve for x
    x = 62,385,796.74/8,838
  6. Step 6: Final answer
    x = 7,058.81

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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.