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Finding the Fourth Proportional to 8,146.02, 12,219.01 and 1,990.02

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Solution

The fourth proportional to 8,146.02, 12,219.01 and 1,990.02 is: 2,985.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.02 : 12,219.01 = 1,990.02 : x
  2. Step 2: Convert to fraction form
    8,146.02/12,219.01 = 1,990.02/x
  3. Step 3: Cross multiply
    8,146.02x = 12,219.01 × 1,990.02
  4. Step 4: Simplify right side
    8,146.02x = 24,316,074.28
  5. Step 5: Solve for x
    x = 24,316,074.28/8,146.02
  6. Step 6: Final answer
    x = 2,985.03

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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.