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Finding the Fourth Proportional to 6,198.08, 8,543.52 and 6,075.20

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Solution

The fourth proportional to 6,198.08, 8,543.52 and 6,075.20 is: 8,374.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.08 : 8,543.52 = 6,075.20 : x
  2. Step 2: Convert to fraction form
    6,198.08/8,543.52 = 6,075.20/x
  3. Step 3: Cross multiply
    6,198.08x = 8,543.52 × 6,075.20
  4. Step 4: Simplify right side
    6,198.08x = 51,903,592.70
  5. Step 5: Solve for x
    x = 51,903,592.70/6,198.08
  6. Step 6: Final answer
    x = 8,374.14

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