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Finding the Fourth Proportional to 11,047.64, 15,246.27 and 6,331.93

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Solution

The fourth proportional to 11,047.64, 15,246.27 and 6,331.93 is: 8,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,047.64 : 15,246.27 = 6,331.93 : x
  2. Step 2: Convert to fraction form
    11,047.64/15,246.27 = 6,331.93/x
  3. Step 3: Cross multiply
    11,047.64x = 15,246.27 × 6,331.93
  4. Step 4: Simplify right side
    11,047.64x = 96,538,276.29
  5. Step 5: Solve for x
    x = 96,538,276.29/11,047.64
  6. Step 6: Final answer
    x = 8,738.37

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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.