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Finding the Fourth Proportional to 8,416.96, 12,625.52 and 2,573.60

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Solution

The fourth proportional to 8,416.96, 12,625.52 and 2,573.60 is: 3,860.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,416.96 : 12,625.52 = 2,573.60 : x
  2. Step 2: Convert to fraction form
    8,416.96/12,625.52 = 2,573.60/x
  3. Step 3: Cross multiply
    8,416.96x = 12,625.52 × 2,573.60
  4. Step 4: Simplify right side
    8,416.96x = 32,493,038.27
  5. Step 5: Solve for x
    x = 32,493,038.27/8,416.96
  6. Step 6: Final answer
    x = 3,860.42

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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.