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Finding the Fourth Proportional to 7,675.93, 11,514.09 and 5,740.42

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Solution

The fourth proportional to 7,675.93, 11,514.09 and 5,740.42 is: 8,610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.93 : 11,514.09 = 5,740.42 : x
  2. Step 2: Convert to fraction form
    7,675.93/11,514.09 = 5,740.42/x
  3. Step 3: Cross multiply
    7,675.93x = 11,514.09 × 5,740.42
  4. Step 4: Simplify right side
    7,675.93x = 66,095,712.52
  5. Step 5: Solve for x
    x = 66,095,712.52/7,675.93
  6. Step 6: Final answer
    x = 8,610.78

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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.