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Finding the Fourth Proportional to 11,339.86, 17,020.56 and 6,965.86

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Solution

The fourth proportional to 11,339.86, 17,020.56 and 6,965.86 is: 10,455.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,339.86 : 17,020.56 = 6,965.86 : x
  2. Step 2: Convert to fraction form
    11,339.86/17,020.56 = 6,965.86/x
  3. Step 3: Cross multiply
    11,339.86x = 17,020.56 × 6,965.86
  4. Step 4: Simplify right side
    11,339.86x = 118,562,838.08
  5. Step 5: Solve for x
    x = 118,562,838.08/11,339.86
  6. Step 6: Final answer
    x = 10,455.41

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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.