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Finding the Fourth Proportional to 11,047.51, 15,246.12 and 6,331.78

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Solution

The fourth proportional to 11,047.51, 15,246.12 and 6,331.78 is: 8,738.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,047.51 : 15,246.12 = 6,331.78 : x
  2. Step 2: Convert to fraction form
    11,047.51/15,246.12 = 6,331.78/x
  3. Step 3: Cross multiply
    11,047.51x = 15,246.12 × 6,331.78
  4. Step 4: Simplify right side
    11,047.51x = 96,535,077.69
  5. Step 5: Solve for x
    x = 96,535,077.69/11,047.51
  6. Step 6: Final answer
    x = 8,738.18

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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.