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Finding the Fourth Proportional to 8,303.73, 11,456.82 and 4,945.74

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Solution

The fourth proportional to 8,303.73, 11,456.82 and 4,945.74 is: 6,823.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,303.73 : 11,456.82 = 4,945.74 : x
  2. Step 2: Convert to fraction form
    8,303.73/11,456.82 = 4,945.74/x
  3. Step 3: Cross multiply
    8,303.73x = 11,456.82 × 4,945.74
  4. Step 4: Simplify right side
    8,303.73x = 56,662,452.95
  5. Step 5: Solve for x
    x = 56,662,452.95/8,303.73
  6. Step 6: Final answer
    x = 6,823.73

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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.