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Finding the Fourth Proportional to 8,285.17, 12,427.80 and 3,091

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Solution

The fourth proportional to 8,285.17, 12,427.80 and 3,091 is: 4,636.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.17 : 12,427.80 = 3,091 : x
  2. Step 2: Convert to fraction form
    8,285.17/12,427.80 = 3,091/x
  3. Step 3: Cross multiply
    8,285.17x = 12,427.80 × 3,091
  4. Step 4: Simplify right side
    8,285.17x = 38,414,329.80
  5. Step 5: Solve for x
    x = 38,414,329.80/8,285.17
  6. Step 6: Final answer
    x = 4,636.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.