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Finding the Fourth Proportional to 11,856.00, 16,361.34 and 6,478.55

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Solution

The fourth proportional to 11,856.00, 16,361.34 and 6,478.55 is: 8,940.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.00 : 16,361.34 = 6,478.55 : x
  2. Step 2: Convert to fraction form
    11,856.00/16,361.34 = 6,478.55/x
  3. Step 3: Cross multiply
    11,856.00x = 16,361.34 × 6,478.55
  4. Step 4: Simplify right side
    11,856.00x = 105,997,714.51
  5. Step 5: Solve for x
    x = 105,997,714.51/11,856.00
  6. Step 6: Final answer
    x = 8,940.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.