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Finding the Fourth Proportional to 8,441.84, 12,671.68 and 6,899.60

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Solution

The fourth proportional to 8,441.84, 12,671.68 and 6,899.60 is: 10,356.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.84 : 12,671.68 = 6,899.60 : x
  2. Step 2: Convert to fraction form
    8,441.84/12,671.68 = 6,899.60/x
  3. Step 3: Cross multiply
    8,441.84x = 12,671.68 × 6,899.60
  4. Step 4: Simplify right side
    8,441.84x = 87,429,523.33
  5. Step 5: Solve for x
    x = 87,429,523.33/8,441.84
  6. Step 6: Final answer
    x = 10,356.69

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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.