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Finding the Fourth Proportional to 11,047, 15,244.86 and 6,079

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Solution

The fourth proportional to 11,047, 15,244.86 and 6,079 is: 8,389.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,047 : 15,244.86 = 6,079 : x
  2. Step 2: Convert to fraction form
    11,047/15,244.86 = 6,079/x
  3. Step 3: Cross multiply
    11,047x = 15,244.86 × 6,079
  4. Step 4: Simplify right side
    11,047x = 92,673,503.94
  5. Step 5: Solve for x
    x = 92,673,503.94/11,047
  6. Step 6: Final answer
    x = 8,389.02

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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.