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Finding the Fourth Proportional to 8,140.12, 12,219.90 and 5,230.60

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Solution

The fourth proportional to 8,140.12, 12,219.90 and 5,230.60 is: 7,852.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.12 : 12,219.90 = 5,230.60 : x
  2. Step 2: Convert to fraction form
    8,140.12/12,219.90 = 5,230.60/x
  3. Step 3: Cross multiply
    8,140.12x = 12,219.90 × 5,230.60
  4. Step 4: Simplify right side
    8,140.12x = 63,917,408.94
  5. Step 5: Solve for x
    x = 63,917,408.94/8,140.12
  6. Step 6: Final answer
    x = 7,852.15

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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.