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Finding the Fourth Proportional to 8,075.99, 12,113.04 and 2,233.05

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Solution

The fourth proportional to 8,075.99, 12,113.04 and 2,233.05 is: 3,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075.99 : 12,113.04 = 2,233.05 : x
  2. Step 2: Convert to fraction form
    8,075.99/12,113.04 = 2,233.05/x
  3. Step 3: Cross multiply
    8,075.99x = 12,113.04 × 2,233.05
  4. Step 4: Simplify right side
    8,075.99x = 27,049,055.06
  5. Step 5: Solve for x
    x = 27,049,055.06/8,075.99
  6. Step 6: Final answer
    x = 3,349.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.