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Finding the Fourth Proportional to 8,823.60, 12,170.25 and 5,676.75

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Solution

The fourth proportional to 8,823.60, 12,170.25 and 5,676.75 is: 7,829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,823.60 : 12,170.25 = 5,676.75 : x
  2. Step 2: Convert to fraction form
    8,823.60/12,170.25 = 5,676.75/x
  3. Step 3: Cross multiply
    8,823.60x = 12,170.25 × 5,676.75
  4. Step 4: Simplify right side
    8,823.60x = 69,087,466.69
  5. Step 5: Solve for x
    x = 69,087,466.69/8,823.60
  6. Step 6: Final answer
    x = 7,829.85

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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.