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Finding the Fourth Proportional to 7,825.65, 11,727.48 and 5,624.07

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Solution

The fourth proportional to 7,825.65, 11,727.48 and 5,624.07 is: 8,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.65 : 11,727.48 = 5,624.07 : x
  2. Step 2: Convert to fraction form
    7,825.65/11,727.48 = 5,624.07/x
  3. Step 3: Cross multiply
    7,825.65x = 11,727.48 × 5,624.07
  4. Step 4: Simplify right side
    7,825.65x = 65,956,168.44
  5. Step 5: Solve for x
    x = 65,956,168.44/7,825.65
  6. Step 6: Final answer
    x = 8,428.20

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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.