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Finding the Fourth Proportional to 7,524.72, 11,293.68 and 3,580.80

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Solution

The fourth proportional to 7,524.72, 11,293.68 and 3,580.80 is: 5,374.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.72 : 11,293.68 = 3,580.80 : x
  2. Step 2: Convert to fraction form
    7,524.72/11,293.68 = 3,580.80/x
  3. Step 3: Cross multiply
    7,524.72x = 11,293.68 × 3,580.80
  4. Step 4: Simplify right side
    7,524.72x = 40,440,409.34
  5. Step 5: Solve for x
    x = 40,440,409.34/7,524.72
  6. Step 6: Final answer
    x = 5,374.34

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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.