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Finding the Fourth Proportional to 11,141.92, 15,375.64 and 6,106

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Solution

The fourth proportional to 11,141.92, 15,375.64 and 6,106 is: 8,426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,141.92 : 15,375.64 = 6,106 : x
  2. Step 2: Convert to fraction form
    11,141.92/15,375.64 = 6,106/x
  3. Step 3: Cross multiply
    11,141.92x = 15,375.64 × 6,106
  4. Step 4: Simplify right side
    11,141.92x = 93,883,657.84
  5. Step 5: Solve for x
    x = 93,883,657.84/11,141.92
  6. Step 6: Final answer
    x = 8,426.17

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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.