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Finding the Fourth Proportional to 11,048, 15,246.36 and 6,080

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Solution

The fourth proportional to 11,048, 15,246.36 and 6,080 is: 8,390.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,048 : 15,246.36 = 6,080 : x
  2. Step 2: Convert to fraction form
    11,048/15,246.36 = 6,080/x
  3. Step 3: Cross multiply
    11,048x = 15,246.36 × 6,080
  4. Step 4: Simplify right side
    11,048x = 92,697,868.80
  5. Step 5: Solve for x
    x = 92,697,868.80/11,048
  6. Step 6: Final answer
    x = 8,390.47

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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.