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Finding the Fourth Proportional to 10,137.94, 13,990.20 and 5,661.75

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Solution

The fourth proportional to 10,137.94, 13,990.20 and 5,661.75 is: 7,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.94 : 13,990.20 = 5,661.75 : x
  2. Step 2: Convert to fraction form
    10,137.94/13,990.20 = 5,661.75/x
  3. Step 3: Cross multiply
    10,137.94x = 13,990.20 × 5,661.75
  4. Step 4: Simplify right side
    10,137.94x = 79,209,077.93
  5. Step 5: Solve for x
    x = 79,209,077.93/10,137.94
  6. Step 6: Final answer
    x = 7,813.14

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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.