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Finding the Fourth Proportional to 8,362.09, 12,541.14 and 3,364.48

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Solution

The fourth proportional to 8,362.09, 12,541.14 and 3,364.48 is: 5,045.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.09 : 12,541.14 = 3,364.48 : x
  2. Step 2: Convert to fraction form
    8,362.09/12,541.14 = 3,364.48/x
  3. Step 3: Cross multiply
    8,362.09x = 12,541.14 × 3,364.48
  4. Step 4: Simplify right side
    8,362.09x = 42,194,399.84
  5. Step 5: Solve for x
    x = 42,194,399.84/8,362.09
  6. Step 6: Final answer
    x = 5,045.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.