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Finding the Fourth Proportional to 8,035.78, 12,051.77 and 2,191.00

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Solution

The fourth proportional to 8,035.78, 12,051.77 and 2,191.00 is: 3,285.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,035.78 : 12,051.77 = 2,191.00 : x
  2. Step 2: Convert to fraction form
    8,035.78/12,051.77 = 2,191.00/x
  3. Step 3: Cross multiply
    8,035.78x = 12,051.77 × 2,191.00
  4. Step 4: Simplify right side
    8,035.78x = 26,405,367.81
  5. Step 5: Solve for x
    x = 26,405,367.81/8,035.78
  6. Step 6: Final answer
    x = 3,285.98

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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.