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Finding the Fourth Proportional to 10,904, 16,356.16 and 2,696

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Solution

The fourth proportional to 10,904, 16,356.16 and 2,696 is: 4,044.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,904 : 16,356.16 = 2,696 : x
  2. Step 2: Convert to fraction form
    10,904/16,356.16 = 2,696/x
  3. Step 3: Cross multiply
    10,904x = 16,356.16 × 2,696
  4. Step 4: Simplify right side
    10,904x = 44,096,207.36
  5. Step 5: Solve for x
    x = 44,096,207.36/10,904
  6. Step 6: Final answer
    x = 4,044.04

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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.