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Finding the Fourth Proportional to 6,794.90, 10,187.69 and 3,045.20

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Solution

The fourth proportional to 6,794.90, 10,187.69 and 3,045.20 is: 4,565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.90 : 10,187.69 = 3,045.20 : x
  2. Step 2: Convert to fraction form
    6,794.90/10,187.69 = 3,045.20/x
  3. Step 3: Cross multiply
    6,794.90x = 10,187.69 × 3,045.20
  4. Step 4: Simplify right side
    6,794.90x = 31,023,563.83
  5. Step 5: Solve for x
    x = 31,023,563.83/6,794.90
  6. Step 6: Final answer
    x = 4,565.72

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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.