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Finding the Fourth Proportional to 7,747.48, 11,624.16 and 3,589.48

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Solution

The fourth proportional to 7,747.48, 11,624.16 and 3,589.48 is: 5,385.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.48 : 11,624.16 = 3,589.48 : x
  2. Step 2: Convert to fraction form
    7,747.48/11,624.16 = 3,589.48/x
  3. Step 3: Cross multiply
    7,747.48x = 11,624.16 × 3,589.48
  4. Step 4: Simplify right side
    7,747.48x = 41,724,689.84
  5. Step 5: Solve for x
    x = 41,724,689.84/7,747.48
  6. Step 6: Final answer
    x = 5,385.58

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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.