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Finding the Fourth Proportional to 11,047.24, 15,245.55 and 6,332.41

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Solution

The fourth proportional to 11,047.24, 15,245.55 and 6,332.41 is: 8,738.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,047.24 : 15,245.55 = 6,332.41 : x
  2. Step 2: Convert to fraction form
    11,047.24/15,245.55 = 6,332.41/x
  3. Step 3: Cross multiply
    11,047.24x = 15,245.55 × 6,332.41
  4. Step 4: Simplify right side
    11,047.24x = 96,541,073.28
  5. Step 5: Solve for x
    x = 96,541,073.28/11,047.24
  6. Step 6: Final answer
    x = 8,738.93

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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.