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Finding the Fourth Proportional to 11,887.34, 16,406.26 and 6,850.58

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Solution

The fourth proportional to 11,887.34, 16,406.26 and 6,850.58 is: 9,454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,887.34 : 16,406.26 = 6,850.58 : x
  2. Step 2: Convert to fraction form
    11,887.34/16,406.26 = 6,850.58/x
  3. Step 3: Cross multiply
    11,887.34x = 16,406.26 × 6,850.58
  4. Step 4: Simplify right side
    11,887.34x = 112,392,396.63
  5. Step 5: Solve for x
    x = 112,392,396.63/11,887.34
  6. Step 6: Final answer
    x = 9,454.80

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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.