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Finding the Fourth Proportional to 11,779.68, 16,255.62 and 7,590.36

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Solution

The fourth proportional to 11,779.68, 16,255.62 and 7,590.36 is: 10,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.68 : 16,255.62 = 7,590.36 : x
  2. Step 2: Convert to fraction form
    11,779.68/16,255.62 = 7,590.36/x
  3. Step 3: Cross multiply
    11,779.68x = 16,255.62 × 7,590.36
  4. Step 4: Simplify right side
    11,779.68x = 123,386,007.82
  5. Step 5: Solve for x
    x = 123,386,007.82/11,779.68
  6. Step 6: Final answer
    x = 10,474.48

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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.