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Finding the Fourth Proportional to 8,075.64, 12,108.30 and 3,857.16

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Solution

The fourth proportional to 8,075.64, 12,108.30 and 3,857.16 is: 5,783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075.64 : 12,108.30 = 3,857.16 : x
  2. Step 2: Convert to fraction form
    8,075.64/12,108.30 = 3,857.16/x
  3. Step 3: Cross multiply
    8,075.64x = 12,108.30 × 3,857.16
  4. Step 4: Simplify right side
    8,075.64x = 46,703,650.43
  5. Step 5: Solve for x
    x = 46,703,650.43/8,075.64
  6. Step 6: Final answer
    x = 5,783.28

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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.