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Finding the Fourth Proportional to 11,737.36, 16,197.42 and 7,021.63

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Solution

The fourth proportional to 11,737.36, 16,197.42 and 7,021.63 is: 9,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.36 : 16,197.42 = 7,021.63 : x
  2. Step 2: Convert to fraction form
    11,737.36/16,197.42 = 7,021.63/x
  3. Step 3: Cross multiply
    11,737.36x = 16,197.42 × 7,021.63
  4. Step 4: Simplify right side
    11,737.36x = 113,732,290.19
  5. Step 5: Solve for x
    x = 113,732,290.19/11,737.36
  6. Step 6: Final answer
    x = 9,689.77

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