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Finding the Fourth Proportional to 8,305.73, 11,461.32 and 4,672.31

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Solution

The fourth proportional to 8,305.73, 11,461.32 and 4,672.31 is: 6,447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.73 : 11,461.32 = 4,672.31 : x
  2. Step 2: Convert to fraction form
    8,305.73/11,461.32 = 4,672.31/x
  3. Step 3: Cross multiply
    8,305.73x = 11,461.32 × 4,672.31
  4. Step 4: Simplify right side
    8,305.73x = 53,550,782.74
  5. Step 5: Solve for x
    x = 53,550,782.74/8,305.73
  6. Step 6: Final answer
    x = 6,447.45

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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.