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Finding the Fourth Proportional to 11,668.86, 17,490.33 and 6,471.90

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Solution

The fourth proportional to 11,668.86, 17,490.33 and 6,471.90 is: 9,700.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.86 : 17,490.33 = 6,471.90 : x
  2. Step 2: Convert to fraction form
    11,668.86/17,490.33 = 6,471.90/x
  3. Step 3: Cross multiply
    11,668.86x = 17,490.33 × 6,471.90
  4. Step 4: Simplify right side
    11,668.86x = 113,195,666.73
  5. Step 5: Solve for x
    x = 113,195,666.73/11,668.86
  6. Step 6: Final answer
    x = 9,700.66

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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.