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Finding the Fourth Proportional to 11,162.82, 15,404.72 and 6,127.08

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Solution

The fourth proportional to 11,162.82, 15,404.72 and 6,127.08 is: 8,455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162.82 : 15,404.72 = 6,127.08 : x
  2. Step 2: Convert to fraction form
    11,162.82/15,404.72 = 6,127.08/x
  3. Step 3: Cross multiply
    11,162.82x = 15,404.72 × 6,127.08
  4. Step 4: Simplify right side
    11,162.82x = 94,385,951.82
  5. Step 5: Solve for x
    x = 94,385,951.82/11,162.82
  6. Step 6: Final answer
    x = 8,455.39

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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.