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Finding the Fourth Proportional to 7,594.16, 11,392.05 and 3,212.06

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Solution

The fourth proportional to 7,594.16, 11,392.05 and 3,212.06 is: 4,818.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594.16 : 11,392.05 = 3,212.06 : x
  2. Step 2: Convert to fraction form
    7,594.16/11,392.05 = 3,212.06/x
  3. Step 3: Cross multiply
    7,594.16x = 11,392.05 × 3,212.06
  4. Step 4: Simplify right side
    7,594.16x = 36,591,948.12
  5. Step 5: Solve for x
    x = 36,591,948.12/7,594.16
  6. Step 6: Final answer
    x = 4,818.43

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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.