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Finding the Fourth Proportional to 8,462.64, 11,672.82 and 5,277.36

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Solution

The fourth proportional to 8,462.64, 11,672.82 and 5,277.36 is: 7,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.64 : 11,672.82 = 5,277.36 : x
  2. Step 2: Convert to fraction form
    8,462.64/11,672.82 = 5,277.36/x
  3. Step 3: Cross multiply
    8,462.64x = 11,672.82 × 5,277.36
  4. Step 4: Simplify right side
    8,462.64x = 61,601,673.36
  5. Step 5: Solve for x
    x = 61,601,673.36/8,462.64
  6. Step 6: Final answer
    x = 7,279.25

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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.