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Finding the Fourth Proportional to 11,666.85, 17,456.54 and 6,476.37

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Solution

The fourth proportional to 11,666.85, 17,456.54 and 6,476.37 is: 9,690.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.85 : 17,456.54 = 6,476.37 : x
  2. Step 2: Convert to fraction form
    11,666.85/17,456.54 = 6,476.37/x
  3. Step 3: Cross multiply
    11,666.85x = 17,456.54 × 6,476.37
  4. Step 4: Simplify right side
    11,666.85x = 113,054,979.58
  5. Step 5: Solve for x
    x = 113,054,979.58/11,666.85
  6. Step 6: Final answer
    x = 9,690.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.