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Finding the Fourth Proportional to 8,256.81, 11,395.65 and 5,274.63

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Solution

The fourth proportional to 8,256.81, 11,395.65 and 5,274.63 is: 7,279.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.81 : 11,395.65 = 5,274.63 : x
  2. Step 2: Convert to fraction form
    8,256.81/11,395.65 = 5,274.63/x
  3. Step 3: Cross multiply
    8,256.81x = 11,395.65 × 5,274.63
  4. Step 4: Simplify right side
    8,256.81x = 60,107,837.36
  5. Step 5: Solve for x
    x = 60,107,837.36/8,256.81
  6. Step 6: Final answer
    x = 7,279.79

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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.