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Finding the Fourth Proportional to 11,162.81, 15,404.38 and 6,127.04

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Solution

The fourth proportional to 11,162.81, 15,404.38 and 6,127.04 is: 8,455.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,162.81 : 15,404.38 = 6,127.04 : x
  2. Step 2: Convert to fraction form
    11,162.81/15,404.38 = 6,127.04/x
  3. Step 3: Cross multiply
    11,162.81x = 15,404.38 × 6,127.04
  4. Step 4: Simplify right side
    11,162.81x = 94,383,275.63
  5. Step 5: Solve for x
    x = 94,383,275.63/11,162.81
  6. Step 6: Final answer
    x = 8,455.15

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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.