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Finding the Fourth Proportional to 8,106.60, 12,142.98 and 4,199.16

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Solution

The fourth proportional to 8,106.60, 12,142.98 and 4,199.16 is: 6,289.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.60 : 12,142.98 = 4,199.16 : x
  2. Step 2: Convert to fraction form
    8,106.60/12,142.98 = 4,199.16/x
  3. Step 3: Cross multiply
    8,106.60x = 12,142.98 × 4,199.16
  4. Step 4: Simplify right side
    8,106.60x = 50,990,315.90
  5. Step 5: Solve for x
    x = 50,990,315.90/8,106.60
  6. Step 6: Final answer
    x = 6,289.98

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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.