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Finding the Fourth Proportional to 11,808.40, 17,741.40 and 8,892.40

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Solution

The fourth proportional to 11,808.40, 17,741.40 and 8,892.40 is: 13,360.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.40 : 17,741.40 = 8,892.40 : x
  2. Step 2: Convert to fraction form
    11,808.40/17,741.40 = 8,892.40/x
  3. Step 3: Cross multiply
    11,808.40x = 17,741.40 × 8,892.40
  4. Step 4: Simplify right side
    11,808.40x = 157,763,625.36
  5. Step 5: Solve for x
    x = 157,763,625.36/11,808.40
  6. Step 6: Final answer
    x = 13,360.29

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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.