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Finding the Fourth Proportional to 8,003.12, 12,005.88 and 2,808.08

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Solution

The fourth proportional to 8,003.12, 12,005.88 and 2,808.08 is: 4,212.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.12 : 12,005.88 = 2,808.08 : x
  2. Step 2: Convert to fraction form
    8,003.12/12,005.88 = 2,808.08/x
  3. Step 3: Cross multiply
    8,003.12x = 12,005.88 × 2,808.08
  4. Step 4: Simplify right side
    8,003.12x = 33,713,471.51
  5. Step 5: Solve for x
    x = 33,713,471.51/8,003.12
  6. Step 6: Final answer
    x = 4,212.54

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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.