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Finding the Fourth Proportional to 10,786.37, 16,178.81 and 2,888.87

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Solution

The fourth proportional to 10,786.37, 16,178.81 and 2,888.87 is: 4,333.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.37 : 16,178.81 = 2,888.87 : x
  2. Step 2: Convert to fraction form
    10,786.37/16,178.81 = 2,888.87/x
  3. Step 3: Cross multiply
    10,786.37x = 16,178.81 × 2,888.87
  4. Step 4: Simplify right side
    10,786.37x = 46,738,383.51
  5. Step 5: Solve for x
    x = 46,738,383.51/10,786.37
  6. Step 6: Final answer
    x = 4,333.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.