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Finding the Fourth Proportional to 11,895.80, 16,416.88 and 7,180.79

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Solution

The fourth proportional to 11,895.80, 16,416.88 and 7,180.79 is: 9,909.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.80 : 16,416.88 = 7,180.79 : x
  2. Step 2: Convert to fraction form
    11,895.80/16,416.88 = 7,180.79/x
  3. Step 3: Cross multiply
    11,895.80x = 16,416.88 × 7,180.79
  4. Step 4: Simplify right side
    11,895.80x = 117,886,067.70
  5. Step 5: Solve for x
    x = 117,886,067.70/11,895.80
  6. Step 6: Final answer
    x = 9,909.89

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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.