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Finding the Fourth Proportional to 8,384.49, 12,569.18 and 3,186.63

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Solution

The fourth proportional to 8,384.49, 12,569.18 and 3,186.63 is: 4,777.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.49 : 12,569.18 = 3,186.63 : x
  2. Step 2: Convert to fraction form
    8,384.49/12,569.18 = 3,186.63/x
  3. Step 3: Cross multiply
    8,384.49x = 12,569.18 × 3,186.63
  4. Step 4: Simplify right side
    8,384.49x = 40,053,310.13
  5. Step 5: Solve for x
    x = 40,053,310.13/8,384.49
  6. Step 6: Final answer
    x = 4,777.07

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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.