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Finding the Fourth Proportional to 11,260.96, 16,904.40 and 6,906.40

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Solution

The fourth proportional to 11,260.96, 16,904.40 and 6,906.40 is: 10,367.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,260.96 : 16,904.40 = 6,906.40 : x
  2. Step 2: Convert to fraction form
    11,260.96/16,904.40 = 6,906.40/x
  3. Step 3: Cross multiply
    11,260.96x = 16,904.40 × 6,906.40
  4. Step 4: Simplify right side
    11,260.96x = 116,748,548.16
  5. Step 5: Solve for x
    x = 116,748,548.16/11,260.96
  6. Step 6: Final answer
    x = 10,367.55

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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.