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Finding the Fourth Proportional to 7,628.91, 11,444.43 and 2,364.36

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Solution

The fourth proportional to 7,628.91, 11,444.43 and 2,364.36 is: 3,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,628.91 : 11,444.43 = 2,364.36 : x
  2. Step 2: Convert to fraction form
    7,628.91/11,444.43 = 2,364.36/x
  3. Step 3: Cross multiply
    7,628.91x = 11,444.43 × 2,364.36
  4. Step 4: Simplify right side
    7,628.91x = 27,058,752.51
  5. Step 5: Solve for x
    x = 27,058,752.51/7,628.91
  6. Step 6: Final answer
    x = 3,546.87

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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.