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Finding the Fourth Proportional to 11,343.88, 16,996.62 and 6,952.18

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Solution

The fourth proportional to 11,343.88, 16,996.62 and 6,952.18 is: 10,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.88 : 16,996.62 = 6,952.18 : x
  2. Step 2: Convert to fraction form
    11,343.88/16,996.62 = 6,952.18/x
  3. Step 3: Cross multiply
    11,343.88x = 16,996.62 × 6,952.18
  4. Step 4: Simplify right side
    11,343.88x = 118,163,561.63
  5. Step 5: Solve for x
    x = 118,163,561.63/11,343.88
  6. Step 6: Final answer
    x = 10,416.50

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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.