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Finding the Fourth Proportional to 11,184.70, 15,435.12 and 6,149.38

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Solution

The fourth proportional to 11,184.70, 15,435.12 and 6,149.38 is: 8,486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,184.70 : 15,435.12 = 6,149.38 : x
  2. Step 2: Convert to fraction form
    11,184.70/15,435.12 = 6,149.38/x
  3. Step 3: Cross multiply
    11,184.70x = 15,435.12 × 6,149.38
  4. Step 4: Simplify right side
    11,184.70x = 94,916,418.23
  5. Step 5: Solve for x
    x = 94,916,418.23/11,184.70
  6. Step 6: Final answer
    x = 8,486.27

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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.