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Finding the Fourth Proportional to 11,235.31, 16,848.07 and 5,969.17

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Solution

The fourth proportional to 11,235.31, 16,848.07 and 5,969.17 is: 8,951.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,235.31 : 16,848.07 = 5,969.17 : x
  2. Step 2: Convert to fraction form
    11,235.31/16,848.07 = 5,969.17/x
  3. Step 3: Cross multiply
    11,235.31x = 16,848.07 × 5,969.17
  4. Step 4: Simplify right side
    11,235.31x = 100,568,994.00
  5. Step 5: Solve for x
    x = 100,568,994.00/11,235.31
  6. Step 6: Final answer
    x = 8,951.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.