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Finding the Fourth Proportional to 11,783.17, 16,271.22 and 8,020.36

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Solution

The fourth proportional to 11,783.17, 16,271.22 and 8,020.36 is: 11,075.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.17 : 16,271.22 = 8,020.36 : x
  2. Step 2: Convert to fraction form
    11,783.17/16,271.22 = 8,020.36/x
  3. Step 3: Cross multiply
    11,783.17x = 16,271.22 × 8,020.36
  4. Step 4: Simplify right side
    11,783.17x = 130,501,042.04
  5. Step 5: Solve for x
    x = 130,501,042.04/11,783.17
  6. Step 6: Final answer
    x = 11,075.21

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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.