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Finding the Fourth Proportional to 7,703.65, 11,556.29 and 2,508.31

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Solution

The fourth proportional to 7,703.65, 11,556.29 and 2,508.31 is: 3,762.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.65 : 11,556.29 = 2,508.31 : x
  2. Step 2: Convert to fraction form
    7,703.65/11,556.29 = 2,508.31/x
  3. Step 3: Cross multiply
    7,703.65x = 11,556.29 × 2,508.31
  4. Step 4: Simplify right side
    7,703.65x = 28,986,757.77
  5. Step 5: Solve for x
    x = 28,986,757.77/7,703.65
  6. Step 6: Final answer
    x = 3,762.73

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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.