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Finding the Fourth Proportional to 10,138.02, 13,989.09 and 5,661.20

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Solution

The fourth proportional to 10,138.02, 13,989.09 and 5,661.20 is: 7,811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.02 : 13,989.09 = 5,661.20 : x
  2. Step 2: Convert to fraction form
    10,138.02/13,989.09 = 5,661.20/x
  3. Step 3: Cross multiply
    10,138.02x = 13,989.09 × 5,661.20
  4. Step 4: Simplify right side
    10,138.02x = 79,195,050.05
  5. Step 5: Solve for x
    x = 79,195,050.05/10,138.02
  6. Step 6: Final answer
    x = 7,811.69

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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.