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Finding the Fourth Proportional to 10,783.92, 16,167.88 and 3,384.17

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Solution

The fourth proportional to 10,783.92, 16,167.88 and 3,384.17 is: 5,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.92 : 16,167.88 = 3,384.17 : x
  2. Step 2: Convert to fraction form
    10,783.92/16,167.88 = 3,384.17/x
  3. Step 3: Cross multiply
    10,783.92x = 16,167.88 × 3,384.17
  4. Step 4: Simplify right side
    10,783.92x = 54,714,854.46
  5. Step 5: Solve for x
    x = 54,714,854.46/10,783.92
  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.