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Finding the Fourth Proportional to 10,138.03, 13,989.24 and 5,661.63

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Solution

The fourth proportional to 10,138.03, 13,989.24 and 5,661.63 is: 7,812.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.03 : 13,989.24 = 5,661.63 : x
  2. Step 2: Convert to fraction form
    10,138.03/13,989.24 = 5,661.63/x
  3. Step 3: Cross multiply
    10,138.03x = 13,989.24 × 5,661.63
  4. Step 4: Simplify right side
    10,138.03x = 79,201,900.86
  5. Step 5: Solve for x
    x = 79,201,900.86/10,138.03
  6. Step 6: Final answer
    x = 7,812.36

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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.