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Finding the Fourth Proportional to 10,690.30, 16,021.33 and 7,738.62

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Solution

The fourth proportional to 10,690.30, 16,021.33 and 7,738.62 is: 11,597.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.30 : 16,021.33 = 7,738.62 : x
  2. Step 2: Convert to fraction form
    10,690.30/16,021.33 = 7,738.62/x
  3. Step 3: Cross multiply
    10,690.30x = 16,021.33 × 7,738.62
  4. Step 4: Simplify right side
    10,690.30x = 123,982,905.34
  5. Step 5: Solve for x
    x = 123,982,905.34/10,690.30
  6. Step 6: Final answer
    x = 11,597.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.