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Finding the Fourth Proportional to 8,089.74, 11,161.44 and 4,904.28

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Solution

The fourth proportional to 8,089.74, 11,161.44 and 4,904.28 is: 6,766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.74 : 11,161.44 = 4,904.28 : x
  2. Step 2: Convert to fraction form
    8,089.74/11,161.44 = 4,904.28/x
  3. Step 3: Cross multiply
    8,089.74x = 11,161.44 × 4,904.28
  4. Step 4: Simplify right side
    8,089.74x = 54,738,826.96
  5. Step 5: Solve for x
    x = 54,738,826.96/8,089.74
  6. Step 6: Final answer
    x = 6,766.45

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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.