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Finding the Fourth Proportional to 8,828.46, 12,150 and 7,408.80

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Solution

The fourth proportional to 8,828.46, 12,150 and 7,408.80 is: 10,196.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,828.46 : 12,150 = 7,408.80 : x
  2. Step 2: Convert to fraction form
    8,828.46/12,150 = 7,408.80/x
  3. Step 3: Cross multiply
    8,828.46x = 12,150 × 7,408.80
  4. Step 4: Simplify right side
    8,828.46x = 90,016,920
  5. Step 5: Solve for x
    x = 90,016,920/8,828.46
  6. Step 6: Final answer
    x = 10,196.22

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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.