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Finding the Fourth Proportional to 11,854, 16,359.96 and 6,886

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Solution

The fourth proportional to 11,854, 16,359.96 and 6,886 is: 9,503.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854 : 16,359.96 = 6,886 : x
  2. Step 2: Convert to fraction form
    11,854/16,359.96 = 6,886/x
  3. Step 3: Cross multiply
    11,854x = 16,359.96 × 6,886
  4. Step 4: Simplify right side
    11,854x = 112,654,684.56
  5. Step 5: Solve for x
    x = 112,654,684.56/11,854
  6. Step 6: Final answer
    x = 9,503.52

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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.