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Finding the Fourth Proportional to 12,052.92, 18,075.54 and 3,843

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Solution

The fourth proportional to 12,052.92, 18,075.54 and 3,843 is: 5,763.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,052.92 : 18,075.54 = 3,843 : x
  2. Step 2: Convert to fraction form
    12,052.92/18,075.54 = 3,843/x
  3. Step 3: Cross multiply
    12,052.92x = 18,075.54 × 3,843
  4. Step 4: Simplify right side
    12,052.92x = 69,464,300.22
  5. Step 5: Solve for x
    x = 69,464,300.22/12,052.92
  6. Step 6: Final answer
    x = 5,763.28

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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.