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Finding the Fourth Proportional to 10,936.34, 16,407.12 and 3,540.80

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Solution

The fourth proportional to 10,936.34, 16,407.12 and 3,540.80 is: 5,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,936.34 : 16,407.12 = 3,540.80 : x
  2. Step 2: Convert to fraction form
    10,936.34/16,407.12 = 3,540.80/x
  3. Step 3: Cross multiply
    10,936.34x = 16,407.12 × 3,540.80
  4. Step 4: Simplify right side
    10,936.34x = 58,094,371.51
  5. Step 5: Solve for x
    x = 58,094,371.51/10,936.34
  6. Step 6: Final answer
    x = 5,312.05

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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.