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Finding the Fourth Proportional to 8,385.36, 12,578.08 and 2,542

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Solution

The fourth proportional to 8,385.36, 12,578.08 and 2,542 is: 3,813.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.36 : 12,578.08 = 2,542 : x
  2. Step 2: Convert to fraction form
    8,385.36/12,578.08 = 2,542/x
  3. Step 3: Cross multiply
    8,385.36x = 12,578.08 × 2,542
  4. Step 4: Simplify right side
    8,385.36x = 31,973,479.36
  5. Step 5: Solve for x
    x = 31,973,479.36/8,385.36
  6. Step 6: Final answer
    x = 3,813.01

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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.