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Finding the Fourth Proportional to 8,038.21, 12,033.40 and 7,193.48

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Solution

The fourth proportional to 8,038.21, 12,033.40 and 7,193.48 is: 10,768.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.21 : 12,033.40 = 7,193.48 : x
  2. Step 2: Convert to fraction form
    8,038.21/12,033.40 = 7,193.48/x
  3. Step 3: Cross multiply
    8,038.21x = 12,033.40 × 7,193.48
  4. Step 4: Simplify right side
    8,038.21x = 86,562,048.99
  5. Step 5: Solve for x
    x = 86,562,048.99/8,038.21
  6. Step 6: Final answer
    x = 10,768.82

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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.