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Finding the Fourth Proportional to 11,779.80, 16,256.12 and 6,474.62

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Solution

The fourth proportional to 11,779.80, 16,256.12 and 6,474.62 is: 8,934.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.80 : 16,256.12 = 6,474.62 : x
  2. Step 2: Convert to fraction form
    11,779.80/16,256.12 = 6,474.62/x
  3. Step 3: Cross multiply
    11,779.80x = 16,256.12 × 6,474.62
  4. Step 4: Simplify right side
    11,779.80x = 105,252,086.02
  5. Step 5: Solve for x
    x = 105,252,086.02/11,779.80
  6. Step 6: Final answer
    x = 8,934.96

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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.