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Finding the Fourth Proportional to 11,094.39, 15,308.78 and 6,617.34

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Solution

The fourth proportional to 11,094.39, 15,308.78 and 6,617.34 is: 9,131.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,094.39 : 15,308.78 = 6,617.34 : x
  2. Step 2: Convert to fraction form
    11,094.39/15,308.78 = 6,617.34/x
  3. Step 3: Cross multiply
    11,094.39x = 15,308.78 × 6,617.34
  4. Step 4: Simplify right side
    11,094.39x = 101,303,369.16
  5. Step 5: Solve for x
    x = 101,303,369.16/11,094.39
  6. Step 6: Final answer
    x = 9,131.04

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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.