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Finding the Fourth Proportional to 10,143.64, 13,997.94 and 5,544.23

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Solution

The fourth proportional to 10,143.64, 13,997.94 and 5,544.23 is: 7,650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,143.64 : 13,997.94 = 5,544.23 : x
  2. Step 2: Convert to fraction form
    10,143.64/13,997.94 = 5,544.23/x
  3. Step 3: Cross multiply
    10,143.64x = 13,997.94 × 5,544.23
  4. Step 4: Simplify right side
    10,143.64x = 77,607,798.89
  5. Step 5: Solve for x
    x = 77,607,798.89/10,143.64
  6. Step 6: Final answer
    x = 7,650.88

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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.