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Finding the Fourth Proportional to 7,829.70, 11,744.23 and 3,148.30

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Solution

The fourth proportional to 7,829.70, 11,744.23 and 3,148.30 is: 4,722.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.70 : 11,744.23 = 3,148.30 : x
  2. Step 2: Convert to fraction form
    7,829.70/11,744.23 = 3,148.30/x
  3. Step 3: Cross multiply
    7,829.70x = 11,744.23 × 3,148.30
  4. Step 4: Simplify right side
    7,829.70x = 36,974,359.31
  5. Step 5: Solve for x
    x = 36,974,359.31/7,829.70
  6. Step 6: Final answer
    x = 4,722.32

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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.