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Finding the Fourth Proportional to 8,403.60, 12,605.46 and 2,560.26

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Solution

The fourth proportional to 8,403.60, 12,605.46 and 2,560.26 is: 3,840.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,403.60 : 12,605.46 = 2,560.26 : x
  2. Step 2: Convert to fraction form
    8,403.60/12,605.46 = 2,560.26/x
  3. Step 3: Cross multiply
    8,403.60x = 12,605.46 × 2,560.26
  4. Step 4: Simplify right side
    8,403.60x = 32,273,255.02
  5. Step 5: Solve for x
    x = 32,273,255.02/8,403.60
  6. Step 6: Final answer
    x = 3,840.41

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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.