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Finding the Fourth Proportional to 10,939.90, 16,410.54 and 7,428.42

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Solution

The fourth proportional to 10,939.90, 16,410.54 and 7,428.42 is: 11,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,939.90 : 16,410.54 = 7,428.42 : x
  2. Step 2: Convert to fraction form
    10,939.90/16,410.54 = 7,428.42/x
  3. Step 3: Cross multiply
    10,939.90x = 16,410.54 × 7,428.42
  4. Step 4: Simplify right side
    10,939.90x = 121,904,383.55
  5. Step 5: Solve for x
    x = 121,904,383.55/10,939.90
  6. Step 6: Final answer
    x = 11,143.10

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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.