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Finding the Fourth Proportional to 10,900.36, 16,344.78 and 4,741

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Solution

The fourth proportional to 10,900.36, 16,344.78 and 4,741 is: 7,108.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.36 : 16,344.78 = 4,741 : x
  2. Step 2: Convert to fraction form
    10,900.36/16,344.78 = 4,741/x
  3. Step 3: Cross multiply
    10,900.36x = 16,344.78 × 4,741
  4. Step 4: Simplify right side
    10,900.36x = 77,490,601.98
  5. Step 5: Solve for x
    x = 77,490,601.98/10,900.36
  6. Step 6: Final answer
    x = 7,108.99

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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.