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Finding the Fourth Proportional to 8,455, 12,682.86 and 2,299

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Solution

The fourth proportional to 8,455, 12,682.86 and 2,299 is: 3,448.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,455 : 12,682.86 = 2,299 : x
  2. Step 2: Convert to fraction form
    8,455/12,682.86 = 2,299/x
  3. Step 3: Cross multiply
    8,455x = 12,682.86 × 2,299
  4. Step 4: Simplify right side
    8,455x = 29,157,895.14
  5. Step 5: Solve for x
    x = 29,157,895.14/8,455
  6. Step 6: Final answer
    x = 3,448.60

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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.