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Finding the Fourth Proportional to 11,081.46, 15,293.94 and 6,365.64

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Solution

The fourth proportional to 11,081.46, 15,293.94 and 6,365.64 is: 8,785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,081.46 : 15,293.94 = 6,365.64 : x
  2. Step 2: Convert to fraction form
    11,081.46/15,293.94 = 6,365.64/x
  3. Step 3: Cross multiply
    11,081.46x = 15,293.94 × 6,365.64
  4. Step 4: Simplify right side
    11,081.46x = 97,355,716.22
  5. Step 5: Solve for x
    x = 97,355,716.22/11,081.46
  6. Step 6: Final answer
    x = 8,785.46

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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.