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Finding the Fourth Proportional to 7,673.70, 11,522.70 and 5,219.40

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Solution

The fourth proportional to 7,673.70, 11,522.70 and 5,219.40 is: 7,837.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.70 : 11,522.70 = 5,219.40 : x
  2. Step 2: Convert to fraction form
    7,673.70/11,522.70 = 5,219.40/x
  3. Step 3: Cross multiply
    7,673.70x = 11,522.70 × 5,219.40
  4. Step 4: Simplify right side
    7,673.70x = 60,141,580.38
  5. Step 5: Solve for x
    x = 60,141,580.38/7,673.70
  6. Step 6: Final answer
    x = 7,837.36

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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.