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Finding the Fourth Proportional to 8,253.54, 12,383.46 and 4,968.96

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Solution

The fourth proportional to 8,253.54, 12,383.46 and 4,968.96 is: 7,455.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.54 : 12,383.46 = 4,968.96 : x
  2. Step 2: Convert to fraction form
    8,253.54/12,383.46 = 4,968.96/x
  3. Step 3: Cross multiply
    8,253.54x = 12,383.46 × 4,968.96
  4. Step 4: Simplify right side
    8,253.54x = 61,532,917.40
  5. Step 5: Solve for x
    x = 61,532,917.40/8,253.54
  6. Step 6: Final answer
    x = 7,455.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.