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Finding the Fourth Proportional to 8,193.20, 12,291.60 and 2,645.60

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Solution

The fourth proportional to 8,193.20, 12,291.60 and 2,645.60 is: 3,968.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.20 : 12,291.60 = 2,645.60 : x
  2. Step 2: Convert to fraction form
    8,193.20/12,291.60 = 2,645.60/x
  3. Step 3: Cross multiply
    8,193.20x = 12,291.60 × 2,645.60
  4. Step 4: Simplify right side
    8,193.20x = 32,518,656.96
  5. Step 5: Solve for x
    x = 32,518,656.96/8,193.20
  6. Step 6: Final answer
    x = 3,968.98

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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.