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Finding the Fourth Proportional to 11,783.67, 16,271.91 and 8,020.86

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Solution

The fourth proportional to 11,783.67, 16,271.91 and 8,020.86 is: 11,075.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.67 : 16,271.91 = 8,020.86 : x
  2. Step 2: Convert to fraction form
    11,783.67/16,271.91 = 8,020.86/x
  3. Step 3: Cross multiply
    11,783.67x = 16,271.91 × 8,020.86
  4. Step 4: Simplify right side
    11,783.67x = 130,514,712.04
  5. Step 5: Solve for x
    x = 130,514,712.04/11,783.67
  6. Step 6: Final answer
    x = 11,075.90

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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.