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Finding the Fourth Proportional to 8,384.90, 12,584.55 and 3,712.10

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Solution

The fourth proportional to 8,384.90, 12,584.55 and 3,712.10 is: 5,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.90 : 12,584.55 = 3,712.10 : x
  2. Step 2: Convert to fraction form
    8,384.90/12,584.55 = 3,712.10/x
  3. Step 3: Cross multiply
    8,384.90x = 12,584.55 × 3,712.10
  4. Step 4: Simplify right side
    8,384.90x = 46,715,108.06
  5. Step 5: Solve for x
    x = 46,715,108.06/8,384.90
  6. Step 6: Final answer
    x = 5,571.34

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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.