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Finding the Fourth Proportional to 10,139.70, 13,991.41 and 5,662.88

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Solution

The fourth proportional to 10,139.70, 13,991.41 and 5,662.88 is: 7,814.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,139.70 : 13,991.41 = 5,662.88 : x
  2. Step 2: Convert to fraction form
    10,139.70/13,991.41 = 5,662.88/x
  3. Step 3: Cross multiply
    10,139.70x = 13,991.41 × 5,662.88
  4. Step 4: Simplify right side
    10,139.70x = 79,231,682.52
  5. Step 5: Solve for x
    x = 79,231,682.52/10,139.70
  6. Step 6: Final answer
    x = 7,814.00

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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.