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Finding the Fourth Proportional to 8,333.84, 12,493.40 and 3,143.36

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Solution

The fourth proportional to 8,333.84, 12,493.40 and 3,143.36 is: 4,712.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,333.84 : 12,493.40 = 3,143.36 : x
  2. Step 2: Convert to fraction form
    8,333.84/12,493.40 = 3,143.36/x
  3. Step 3: Cross multiply
    8,333.84x = 12,493.40 × 3,143.36
  4. Step 4: Simplify right side
    8,333.84x = 39,271,175.64
  5. Step 5: Solve for x
    x = 39,271,175.64/8,333.84
  6. Step 6: Final answer
    x = 4,712.26

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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.