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Finding the Fourth Proportional to 7,628.40, 11,443.40 and 2,433.08

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Solution

The fourth proportional to 7,628.40, 11,443.40 and 2,433.08 is: 3,649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,628.40 : 11,443.40 = 2,433.08 : x
  2. Step 2: Convert to fraction form
    7,628.40/11,443.40 = 2,433.08/x
  3. Step 3: Cross multiply
    7,628.40x = 11,443.40 × 2,433.08
  4. Step 4: Simplify right side
    7,628.40x = 27,842,707.67
  5. Step 5: Solve for x
    x = 27,842,707.67/7,628.40
  6. Step 6: Final answer
    x = 3,649.88

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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.