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Finding the Fourth Proportional to 7,586.56, 11,379.49 and 2,657.31

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Solution

The fourth proportional to 7,586.56, 11,379.49 and 2,657.31 is: 3,985.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.56 : 11,379.49 = 2,657.31 : x
  2. Step 2: Convert to fraction form
    7,586.56/11,379.49 = 2,657.31/x
  3. Step 3: Cross multiply
    7,586.56x = 11,379.49 × 2,657.31
  4. Step 4: Simplify right side
    7,586.56x = 30,238,783.26
  5. Step 5: Solve for x
    x = 30,238,783.26/7,586.56
  6. Step 6: Final answer
    x = 3,985.84

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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.