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Finding the Fourth Proportional to 8,589.60, 12,877.20 and 4,485.60

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Solution

The fourth proportional to 8,589.60, 12,877.20 and 4,485.60 is: 6,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.60 : 12,877.20 = 4,485.60 : x
  2. Step 2: Convert to fraction form
    8,589.60/12,877.20 = 4,485.60/x
  3. Step 3: Cross multiply
    8,589.60x = 12,877.20 × 4,485.60
  4. Step 4: Simplify right side
    8,589.60x = 57,761,968.32
  5. Step 5: Solve for x
    x = 57,761,968.32/8,589.60
  6. Step 6: Final answer
    x = 6,724.64

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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.