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Finding the Fourth Proportional to 12,146.37, 16,762.21 and 6,841.38

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Solution

The fourth proportional to 12,146.37, 16,762.21 and 6,841.38 is: 9,441.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.37 : 16,762.21 = 6,841.38 : x
  2. Step 2: Convert to fraction form
    12,146.37/16,762.21 = 6,841.38/x
  3. Step 3: Cross multiply
    12,146.37x = 16,762.21 × 6,841.38
  4. Step 4: Simplify right side
    12,146.37x = 114,676,648.25
  5. Step 5: Solve for x
    x = 114,676,648.25/12,146.37
  6. Step 6: Final answer
    x = 9,441.23

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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.