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Finding the Fourth Proportional to 10,137.50, 13,991.15 and 5,661.50

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Solution

The fourth proportional to 10,137.50, 13,991.15 and 5,661.50 is: 7,813.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.50 : 13,991.15 = 5,661.50 : x
  2. Step 2: Convert to fraction form
    10,137.50/13,991.15 = 5,661.50/x
  3. Step 3: Cross multiply
    10,137.50x = 13,991.15 × 5,661.50
  4. Step 4: Simplify right side
    10,137.50x = 79,210,944.86
  5. Step 5: Solve for x
    x = 79,210,944.86/10,137.50
  6. Step 6: Final answer
    x = 7,813.66

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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.