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Finding the Fourth Proportional to 6,775.83, 10,158.26 and 6,229.08

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Solution

The fourth proportional to 6,775.83, 10,158.26 and 6,229.08 is: 9,338.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.83 : 10,158.26 = 6,229.08 : x
  2. Step 2: Convert to fraction form
    6,775.83/10,158.26 = 6,229.08/x
  3. Step 3: Cross multiply
    6,775.83x = 10,158.26 × 6,229.08
  4. Step 4: Simplify right side
    6,775.83x = 63,276,583.06
  5. Step 5: Solve for x
    x = 63,276,583.06/6,775.83
  6. Step 6: Final answer
    x = 9,338.57

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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.