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Finding the Fourth Proportional to 7,616, 11,424 and 2,421.92

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Solution

The fourth proportional to 7,616, 11,424 and 2,421.92 is: 3,632.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616 : 11,424 = 2,421.92 : x
  2. Step 2: Convert to fraction form
    7,616/11,424 = 2,421.92/x
  3. Step 3: Cross multiply
    7,616x = 11,424 × 2,421.92
  4. Step 4: Simplify right side
    7,616x = 27,668,014.08
  5. Step 5: Solve for x
    x = 27,668,014.08/7,616
  6. Step 6: Final answer
    x = 3,632.88

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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.