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Finding the Fourth Proportional to 7,678.70, 11,530.20 and 5,224.40

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Solution

The fourth proportional to 7,678.70, 11,530.20 and 5,224.40 is: 7,844.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.70 : 11,530.20 = 5,224.40 : x
  2. Step 2: Convert to fraction form
    7,678.70/11,530.20 = 5,224.40/x
  3. Step 3: Cross multiply
    7,678.70x = 11,530.20 × 5,224.40
  4. Step 4: Simplify right side
    7,678.70x = 60,238,376.88
  5. Step 5: Solve for x
    x = 60,238,376.88/7,678.70
  6. Step 6: Final answer
    x = 7,844.87

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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.