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Finding the Fourth Proportional to 10,783.64, 16,167.68 and 3,384.12

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Solution

The fourth proportional to 10,783.64, 16,167.68 and 3,384.12 is: 5,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.64 : 16,167.68 = 3,384.12 : x
  2. Step 2: Convert to fraction form
    10,783.64/16,167.68 = 3,384.12/x
  3. Step 3: Cross multiply
    10,783.64x = 16,167.68 × 3,384.12
  4. Step 4: Simplify right side
    10,783.64x = 54,713,369.24
  5. Step 5: Solve for x
    x = 54,713,369.24/10,783.64
  6. Step 6: Final answer
    x = 5,073.74

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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.