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Finding the Fourth Proportional to 11,102.06, 16,653.09 and 2,894.06

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Solution

The fourth proportional to 11,102.06, 16,653.09 and 2,894.06 is: 4,341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.06 : 16,653.09 = 2,894.06 : x
  2. Step 2: Convert to fraction form
    11,102.06/16,653.09 = 2,894.06/x
  3. Step 3: Cross multiply
    11,102.06x = 16,653.09 × 2,894.06
  4. Step 4: Simplify right side
    11,102.06x = 48,195,094.13
  5. Step 5: Solve for x
    x = 48,195,094.13/11,102.06
  6. Step 6: Final answer
    x = 4,341.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.