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Finding the Fourth Proportional to 11,904.96, 16,410.96 and 7,917.60

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Solution

The fourth proportional to 11,904.96, 16,410.96 and 7,917.60 is: 10,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.96 : 16,410.96 = 7,917.60 : x
  2. Step 2: Convert to fraction form
    11,904.96/16,410.96 = 7,917.60/x
  3. Step 3: Cross multiply
    11,904.96x = 16,410.96 × 7,917.60
  4. Step 4: Simplify right side
    11,904.96x = 129,935,416.90
  5. Step 5: Solve for x
    x = 129,935,416.90/11,904.96
  6. Step 6: Final answer
    x = 10,914.39

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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.