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Finding the Fourth Proportional to 11,135.96, 15,368 and 6,100.48

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Solution

The fourth proportional to 11,135.96, 15,368 and 6,100.48 is: 8,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,135.96 : 15,368 = 6,100.48 : x
  2. Step 2: Convert to fraction form
    11,135.96/15,368 = 6,100.48/x
  3. Step 3: Cross multiply
    11,135.96x = 15,368 × 6,100.48
  4. Step 4: Simplify right side
    11,135.96x = 93,752,176.64
  5. Step 5: Solve for x
    x = 93,752,176.64/11,135.96
  6. Step 6: Final answer
    x = 8,418.87

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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.