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Finding the Fourth Proportional to 8,282.70, 12,424.73 and 2,359.58

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Solution

The fourth proportional to 8,282.70, 12,424.73 and 2,359.58 is: 3,539.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.70 : 12,424.73 = 2,359.58 : x
  2. Step 2: Convert to fraction form
    8,282.70/12,424.73 = 2,359.58/x
  3. Step 3: Cross multiply
    8,282.70x = 12,424.73 × 2,359.58
  4. Step 4: Simplify right side
    8,282.70x = 29,317,070.49
  5. Step 5: Solve for x
    x = 29,317,070.49/8,282.70
  6. Step 6: Final answer
    x = 3,539.55

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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.