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Finding the Fourth Proportional to 8,285.73, 12,428.70 and 2,442.45

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Solution

The fourth proportional to 8,285.73, 12,428.70 and 2,442.45 is: 3,663.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.73 : 12,428.70 = 2,442.45 : x
  2. Step 2: Convert to fraction form
    8,285.73/12,428.70 = 2,442.45/x
  3. Step 3: Cross multiply
    8,285.73x = 12,428.70 × 2,442.45
  4. Step 4: Simplify right side
    8,285.73x = 30,356,478.32
  5. Step 5: Solve for x
    x = 30,356,478.32/8,285.73
  6. Step 6: Final answer
    x = 3,663.71

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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.