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Finding the Fourth Proportional to 8,541.08, 11,794.83 and 8,075.14

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Solution

The fourth proportional to 8,541.08, 11,794.83 and 8,075.14 is: 11,151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.08 : 11,794.83 = 8,075.14 : x
  2. Step 2: Convert to fraction form
    8,541.08/11,794.83 = 8,075.14/x
  3. Step 3: Cross multiply
    8,541.08x = 11,794.83 × 8,075.14
  4. Step 4: Simplify right side
    8,541.08x = 95,244,903.53
  5. Step 5: Solve for x
    x = 95,244,903.53/8,541.08
  6. Step 6: Final answer
    x = 11,151.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.