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Finding the Fourth Proportional to 8,011.68, 12,020.12 and 3,852.02

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Solution

The fourth proportional to 8,011.68, 12,020.12 and 3,852.02 is: 5,779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.68 : 12,020.12 = 3,852.02 : x
  2. Step 2: Convert to fraction form
    8,011.68/12,020.12 = 3,852.02/x
  3. Step 3: Cross multiply
    8,011.68x = 12,020.12 × 3,852.02
  4. Step 4: Simplify right side
    8,011.68x = 46,301,728.00
  5. Step 5: Solve for x
    x = 46,301,728.00/8,011.68
  6. Step 6: Final answer
    x = 5,779.27

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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.