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Finding the Fourth Proportional to 11,658.63, 16,094.31 and 6,876.96

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Solution

The fourth proportional to 11,658.63, 16,094.31 and 6,876.96 is: 9,493.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,658.63 : 16,094.31 = 6,876.96 : x
  2. Step 2: Convert to fraction form
    11,658.63/16,094.31 = 6,876.96/x
  3. Step 3: Cross multiply
    11,658.63x = 16,094.31 × 6,876.96
  4. Step 4: Simplify right side
    11,658.63x = 110,679,926.10
  5. Step 5: Solve for x
    x = 110,679,926.10/11,658.63
  6. Step 6: Final answer
    x = 9,493.39

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Why These Related Problems?

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