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Finding the Fourth Proportional to 12,041.55, 16,617.37 and 6,736.46

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Solution

The fourth proportional to 12,041.55, 16,617.37 and 6,736.46 is: 9,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,041.55 : 16,617.37 = 6,736.46 : x
  2. Step 2: Convert to fraction form
    12,041.55/16,617.37 = 6,736.46/x
  3. Step 3: Cross multiply
    12,041.55x = 16,617.37 × 6,736.46
  4. Step 4: Simplify right side
    12,041.55x = 111,942,148.38
  5. Step 5: Solve for x
    x = 111,942,148.38/12,041.55
  6. Step 6: Final answer
    x = 9,296.32

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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.