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Finding the Fourth Proportional to 8,032.77, 12,048.80 and 2,189.37

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Solution

The fourth proportional to 8,032.77, 12,048.80 and 2,189.37 is: 3,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.77 : 12,048.80 = 2,189.37 : x
  2. Step 2: Convert to fraction form
    8,032.77/12,048.80 = 2,189.37/x
  3. Step 3: Cross multiply
    8,032.77x = 12,048.80 × 2,189.37
  4. Step 4: Simplify right side
    8,032.77x = 26,379,315.49
  5. Step 5: Solve for x
    x = 26,379,315.49/8,032.77
  6. Step 6: Final answer
    x = 3,283.96

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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.