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Finding the Fourth Proportional to 11,154, 15,392.52 and 6,186

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Solution

The fourth proportional to 11,154, 15,392.52 and 6,186 is: 8,536.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154 : 15,392.52 = 6,186 : x
  2. Step 2: Convert to fraction form
    11,154/15,392.52 = 6,186/x
  3. Step 3: Cross multiply
    11,154x = 15,392.52 × 6,186
  4. Step 4: Simplify right side
    11,154x = 95,218,128.72
  5. Step 5: Solve for x
    x = 95,218,128.72/11,154
  6. Step 6: Final answer
    x = 8,536.68

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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.