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Finding the Fourth Proportional to 11,656.94, 16,085.79 and 6,876.63

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Solution

The fourth proportional to 11,656.94, 16,085.79 and 6,876.63 is: 9,489.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.94 : 16,085.79 = 6,876.63 : x
  2. Step 2: Convert to fraction form
    11,656.94/16,085.79 = 6,876.63/x
  3. Step 3: Cross multiply
    11,656.94x = 16,085.79 × 6,876.63
  4. Step 4: Simplify right side
    11,656.94x = 110,616,026.09
  5. Step 5: Solve for x
    x = 110,616,026.09/11,656.94
  6. Step 6: Final answer
    x = 9,489.29

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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.