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Finding the Fourth Proportional to 8,140.40, 12,210.60 and 3,766.40

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Solution

The fourth proportional to 8,140.40, 12,210.60 and 3,766.40 is: 5,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.40 : 12,210.60 = 3,766.40 : x
  2. Step 2: Convert to fraction form
    8,140.40/12,210.60 = 3,766.40/x
  3. Step 3: Cross multiply
    8,140.40x = 12,210.60 × 3,766.40
  4. Step 4: Simplify right side
    8,140.40x = 45,990,003.84
  5. Step 5: Solve for x
    x = 45,990,003.84/8,140.40
  6. Step 6: Final answer
    x = 5,649.60

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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.