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Finding the Fourth Proportional to 6,788.02, 10,222.75 and 5,975.20

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Solution

The fourth proportional to 6,788.02, 10,222.75 and 5,975.20 is: 8,998.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788.02 : 10,222.75 = 5,975.20 : x
  2. Step 2: Convert to fraction form
    6,788.02/10,222.75 = 5,975.20/x
  3. Step 3: Cross multiply
    6,788.02x = 10,222.75 × 5,975.20
  4. Step 4: Simplify right side
    6,788.02x = 61,082,975.80
  5. Step 5: Solve for x
    x = 61,082,975.80/6,788.02
  6. Step 6: Final answer
    x = 8,998.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.