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Finding the Fourth Proportional to 8,285.70, 12,429.24 and 2,362.59

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Solution

The fourth proportional to 8,285.70, 12,429.24 and 2,362.59 is: 3,544.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.70 : 12,429.24 = 2,362.59 : x
  2. Step 2: Convert to fraction form
    8,285.70/12,429.24 = 2,362.59/x
  3. Step 3: Cross multiply
    8,285.70x = 12,429.24 × 2,362.59
  4. Step 4: Simplify right side
    8,285.70x = 29,365,198.13
  5. Step 5: Solve for x
    x = 29,365,198.13/8,285.70
  6. Step 6: Final answer
    x = 3,544.08

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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.