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Finding the Fourth Proportional to 10,138.68, 13,991.24 and 5,662.51

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Solution

The fourth proportional to 10,138.68, 13,991.24 and 5,662.51 is: 7,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.68 : 13,991.24 = 5,662.51 : x
  2. Step 2: Convert to fraction form
    10,138.68/13,991.24 = 5,662.51/x
  3. Step 3: Cross multiply
    10,138.68x = 13,991.24 × 5,662.51
  4. Step 4: Simplify right side
    10,138.68x = 79,225,536.41
  5. Step 5: Solve for x
    x = 79,225,536.41/10,138.68
  6. Step 6: Final answer
    x = 7,814.19

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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.