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Finding the Fourth Proportional to 11,706.35, 17,537.29 and 6,952.48

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Solution

The fourth proportional to 11,706.35, 17,537.29 and 6,952.48 is: 10,415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.35 : 17,537.29 = 6,952.48 : x
  2. Step 2: Convert to fraction form
    11,706.35/17,537.29 = 6,952.48/x
  3. Step 3: Cross multiply
    11,706.35x = 17,537.29 × 6,952.48
  4. Step 4: Simplify right side
    11,706.35x = 121,927,657.98
  5. Step 5: Solve for x
    x = 121,927,657.98/11,706.35
  6. Step 6: Final answer
    x = 10,415.51

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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.