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Finding the Fourth Proportional to 10,833.36, 16,238.40 and 5,274.24

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Solution

The fourth proportional to 10,833.36, 16,238.40 and 5,274.24 is: 7,905.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.36 : 16,238.40 = 5,274.24 : x
  2. Step 2: Convert to fraction form
    10,833.36/16,238.40 = 5,274.24/x
  3. Step 3: Cross multiply
    10,833.36x = 16,238.40 × 5,274.24
  4. Step 4: Simplify right side
    10,833.36x = 85,645,218.82
  5. Step 5: Solve for x
    x = 85,645,218.82/10,833.36
  6. Step 6: Final answer
    x = 7,905.69

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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.