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Finding the Fourth Proportional to 11,779.14, 16,257.52 and 7,800.42

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Solution

The fourth proportional to 11,779.14, 16,257.52 and 7,800.42 is: 10,766.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.14 : 16,257.52 = 7,800.42 : x
  2. Step 2: Convert to fraction form
    11,779.14/16,257.52 = 7,800.42/x
  3. Step 3: Cross multiply
    11,779.14x = 16,257.52 × 7,800.42
  4. Step 4: Simplify right side
    11,779.14x = 126,815,484.16
  5. Step 5: Solve for x
    x = 126,815,484.16/11,779.14
  6. Step 6: Final answer
    x = 10,766.11

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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.