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Finding the Fourth Proportional to 8,290.72, 11,439.12 and 4,932.64

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Solution

The fourth proportional to 8,290.72, 11,439.12 and 4,932.64 is: 6,805.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.72 : 11,439.12 = 4,932.64 : x
  2. Step 2: Convert to fraction form
    8,290.72/11,439.12 = 4,932.64/x
  3. Step 3: Cross multiply
    8,290.72x = 11,439.12 × 4,932.64
  4. Step 4: Simplify right side
    8,290.72x = 56,425,060.88
  5. Step 5: Solve for x
    x = 56,425,060.88/8,290.72
  6. Step 6: Final answer
    x = 6,805.81

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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.