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Finding the Fourth Proportional to 8,130.70, 12,183.09 and 5,206.60

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Solution

The fourth proportional to 8,130.70, 12,183.09 and 5,206.60 is: 7,801.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.70 : 12,183.09 = 5,206.60 : x
  2. Step 2: Convert to fraction form
    8,130.70/12,183.09 = 5,206.60/x
  3. Step 3: Cross multiply
    8,130.70x = 12,183.09 × 5,206.60
  4. Step 4: Simplify right side
    8,130.70x = 63,432,476.39
  5. Step 5: Solve for x
    x = 63,432,476.39/8,130.70
  6. Step 6: Final answer
    x = 7,801.60

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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.