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Finding the Fourth Proportional to 12,145.26, 16,760.64 and 6,840.06

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Solution

The fourth proportional to 12,145.26, 16,760.64 and 6,840.06 is: 9,439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.26 : 16,760.64 = 6,840.06 : x
  2. Step 2: Convert to fraction form
    12,145.26/16,760.64 = 6,840.06/x
  3. Step 3: Cross multiply
    12,145.26x = 16,760.64 × 6,840.06
  4. Step 4: Simplify right side
    12,145.26x = 114,643,783.24
  5. Step 5: Solve for x
    x = 114,643,783.24/12,145.26
  6. Step 6: Final answer
    x = 9,439.38

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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.