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Finding the Fourth Proportional to 7,594.25, 11,392.28 and 3,211.13

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Solution

The fourth proportional to 7,594.25, 11,392.28 and 3,211.13 is: 4,817.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.25 : 11,392.28 = 3,211.13 : x
  2. Step 2: Convert to fraction form
    7,594.25/11,392.28 = 3,211.13/x
  3. Step 3: Cross multiply
    7,594.25x = 11,392.28 × 3,211.13
  4. Step 4: Simplify right side
    7,594.25x = 36,582,019.06
  5. Step 5: Solve for x
    x = 36,582,019.06/7,594.25
  6. Step 6: Final answer
    x = 4,817.07

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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.