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Finding the Fourth Proportional to 10,137.72, 13,990.12 and 5,661.87

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Solution

The fourth proportional to 10,137.72, 13,990.12 and 5,661.87 is: 7,813.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.72 : 13,990.12 = 5,661.87 : x
  2. Step 2: Convert to fraction form
    10,137.72/13,990.12 = 5,661.87/x
  3. Step 3: Cross multiply
    10,137.72x = 13,990.12 × 5,661.87
  4. Step 4: Simplify right side
    10,137.72x = 79,210,174.11
  5. Step 5: Solve for x
    x = 79,210,174.11/10,137.72
  6. Step 6: Final answer
    x = 7,813.41

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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.