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Finding the Fourth Proportional to 11,047.88, 15,246.40 and 6,012.43

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Solution

The fourth proportional to 11,047.88, 15,246.40 and 6,012.43 is: 8,297.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,047.88 : 15,246.40 = 6,012.43 : x
  2. Step 2: Convert to fraction form
    11,047.88/15,246.40 = 6,012.43/x
  3. Step 3: Cross multiply
    11,047.88x = 15,246.40 × 6,012.43
  4. Step 4: Simplify right side
    11,047.88x = 91,667,840.55
  5. Step 5: Solve for x
    x = 91,667,840.55/11,047.88
  6. Step 6: Final answer
    x = 8,297.32

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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.