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Finding the Fourth Proportional to 8,026.84, 11,065.57 and 6,698.44

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Solution

The fourth proportional to 8,026.84, 11,065.57 and 6,698.44 is: 9,234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.84 : 11,065.57 = 6,698.44 : x
  2. Step 2: Convert to fraction form
    8,026.84/11,065.57 = 6,698.44/x
  3. Step 3: Cross multiply
    8,026.84x = 11,065.57 × 6,698.44
  4. Step 4: Simplify right side
    8,026.84x = 74,122,056.71
  5. Step 5: Solve for x
    x = 74,122,056.71/8,026.84
  6. Step 6: Final answer
    x = 9,234.28

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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.