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Finding the Fourth Proportional to 4,668, 7,012.92 and 4,011.90

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Solution

The fourth proportional to 4,668, 7,012.92 and 4,011.90 is: 6,027.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668 : 7,012.92 = 4,011.90 : x
  2. Step 2: Convert to fraction form
    4,668/7,012.92 = 4,011.90/x
  3. Step 3: Cross multiply
    4,668x = 7,012.92 × 4,011.90
  4. Step 4: Simplify right side
    4,668x = 28,135,133.75
  5. Step 5: Solve for x
    x = 28,135,133.75/4,668
  6. Step 6: Final answer
    x = 6,027.24

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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.