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Finding the Fourth Proportional to 8,441.60, 12,662.40 and 7,865.60

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Solution

The fourth proportional to 8,441.60, 12,662.40 and 7,865.60 is: 11,798.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.60 : 12,662.40 = 7,865.60 : x
  2. Step 2: Convert to fraction form
    8,441.60/12,662.40 = 7,865.60/x
  3. Step 3: Cross multiply
    8,441.60x = 12,662.40 × 7,865.60
  4. Step 4: Simplify right side
    8,441.60x = 99,597,373.44
  5. Step 5: Solve for x
    x = 99,597,373.44/8,441.60
  6. Step 6: Final answer
    x = 11,798.40

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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.