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Finding the Fourth Proportional to 6,206.22, 8,553.60 and 5,482.08

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Solution

The fourth proportional to 6,206.22, 8,553.60 and 5,482.08 is: 7,555.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.22 : 8,553.60 = 5,482.08 : x
  2. Step 2: Convert to fraction form
    6,206.22/8,553.60 = 5,482.08/x
  3. Step 3: Cross multiply
    6,206.22x = 8,553.60 × 5,482.08
  4. Step 4: Simplify right side
    6,206.22x = 46,891,519.49
  5. Step 5: Solve for x
    x = 46,891,519.49/6,206.22
  6. Step 6: Final answer
    x = 7,555.57

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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.