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Finding the Fourth Proportional to 11,094.64, 15,309.66 and 6,313.28

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Solution

The fourth proportional to 11,094.64, 15,309.66 and 6,313.28 is: 8,711.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,094.64 : 15,309.66 = 6,313.28 : x
  2. Step 2: Convert to fraction form
    11,094.64/15,309.66 = 6,313.28/x
  3. Step 3: Cross multiply
    11,094.64x = 15,309.66 × 6,313.28
  4. Step 4: Simplify right side
    11,094.64x = 96,654,170.28
  5. Step 5: Solve for x
    x = 96,654,170.28/11,094.64
  6. Step 6: Final answer
    x = 8,711.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.