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Finding the Fourth Proportional to 8,023.75, 12,037.34 and 4,075.54

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Solution

The fourth proportional to 8,023.75, 12,037.34 and 4,075.54 is: 6,114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.75 : 12,037.34 = 4,075.54 : x
  2. Step 2: Convert to fraction form
    8,023.75/12,037.34 = 4,075.54/x
  3. Step 3: Cross multiply
    8,023.75x = 12,037.34 × 4,075.54
  4. Step 4: Simplify right side
    8,023.75x = 49,058,640.76
  5. Step 5: Solve for x
    x = 49,058,640.76/8,023.75
  6. Step 6: Final answer
    x = 6,114.18

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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.