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Finding the Fourth Proportional to 8,256.96, 12,385.44 and 3,578.40

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Solution

The fourth proportional to 8,256.96, 12,385.44 and 3,578.40 is: 5,367.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.96 : 12,385.44 = 3,578.40 : x
  2. Step 2: Convert to fraction form
    8,256.96/12,385.44 = 3,578.40/x
  3. Step 3: Cross multiply
    8,256.96x = 12,385.44 × 3,578.40
  4. Step 4: Simplify right side
    8,256.96x = 44,320,058.50
  5. Step 5: Solve for x
    x = 44,320,058.50/8,256.96
  6. Step 6: Final answer
    x = 5,367.60

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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.