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Finding the Fourth Proportional to 8,049.88, 12,075.22 and 2,856.16

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Solution

The fourth proportional to 8,049.88, 12,075.22 and 2,856.16 is: 4,284.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.88 : 12,075.22 = 2,856.16 : x
  2. Step 2: Convert to fraction form
    8,049.88/12,075.22 = 2,856.16/x
  3. Step 3: Cross multiply
    8,049.88x = 12,075.22 × 2,856.16
  4. Step 4: Simplify right side
    8,049.88x = 34,488,699.98
  5. Step 5: Solve for x
    x = 34,488,699.98/8,049.88
  6. Step 6: Final answer
    x = 4,284.38

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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.