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Finding the Fourth Proportional to 10,997.07, 16,496.06 and 5,658.84

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Solution

The fourth proportional to 10,997.07, 16,496.06 and 5,658.84 is: 8,488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.07 : 16,496.06 = 5,658.84 : x
  2. Step 2: Convert to fraction form
    10,997.07/16,496.06 = 5,658.84/x
  3. Step 3: Cross multiply
    10,997.07x = 16,496.06 × 5,658.84
  4. Step 4: Simplify right side
    10,997.07x = 93,348,535.88
  5. Step 5: Solve for x
    x = 93,348,535.88/10,997.07
  6. Step 6: Final answer
    x = 8,488.49

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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.