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Finding the Fourth Proportional to 8,384.84, 12,577.68 and 3,191.12

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Solution

The fourth proportional to 8,384.84, 12,577.68 and 3,191.12 is: 4,786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.84 : 12,577.68 = 3,191.12 : x
  2. Step 2: Convert to fraction form
    8,384.84/12,577.68 = 3,191.12/x
  3. Step 3: Cross multiply
    8,384.84x = 12,577.68 × 3,191.12
  4. Step 4: Simplify right side
    8,384.84x = 40,136,886.20
  5. Step 5: Solve for x
    x = 40,136,886.20/8,384.84
  6. Step 6: Final answer
    x = 4,786.84

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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.