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Finding the Fourth Proportional to 8,725.48, 13,093.76 and 3,178.28

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Solution

The fourth proportional to 8,725.48, 13,093.76 and 3,178.28 is: 4,769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,725.48 : 13,093.76 = 3,178.28 : x
  2. Step 2: Convert to fraction form
    8,725.48/13,093.76 = 3,178.28/x
  3. Step 3: Cross multiply
    8,725.48x = 13,093.76 × 3,178.28
  4. Step 4: Simplify right side
    8,725.48x = 41,615,635.53
  5. Step 5: Solve for x
    x = 41,615,635.53/8,725.48
  6. Step 6: Final answer
    x = 4,769.44

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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.