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Finding the Fourth Proportional to 12,122.58, 16,729.38 and 7,086.99

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Solution

The fourth proportional to 12,122.58, 16,729.38 and 7,086.99 is: 9,780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.58 : 16,729.38 = 7,086.99 : x
  2. Step 2: Convert to fraction form
    12,122.58/16,729.38 = 7,086.99/x
  3. Step 3: Cross multiply
    12,122.58x = 16,729.38 × 7,086.99
  4. Step 4: Simplify right side
    12,122.58x = 118,560,948.77
  5. Step 5: Solve for x
    x = 118,560,948.77/12,122.58
  6. Step 6: Final answer
    x = 9,780.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.