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Finding the Fourth Proportional to 6,725.76, 10,093.50 and 3,032.16

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Solution

The fourth proportional to 6,725.76, 10,093.50 and 3,032.16 is: 4,550.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.76 : 10,093.50 = 3,032.16 : x
  2. Step 2: Convert to fraction form
    6,725.76/10,093.50 = 3,032.16/x
  3. Step 3: Cross multiply
    6,725.76x = 10,093.50 × 3,032.16
  4. Step 4: Simplify right side
    6,725.76x = 30,605,106.96
  5. Step 5: Solve for x
    x = 30,605,106.96/6,725.76
  6. Step 6: Final answer
    x = 4,550.43

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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.