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Finding the Fourth Proportional to 8,384.10, 12,556.86 and 4,865.34

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Solution

The fourth proportional to 8,384.10, 12,556.86 and 4,865.34 is: 7,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.10 : 12,556.86 = 4,865.34 : x
  2. Step 2: Convert to fraction form
    8,384.10/12,556.86 = 4,865.34/x
  3. Step 3: Cross multiply
    8,384.10x = 12,556.86 × 4,865.34
  4. Step 4: Simplify right side
    8,384.10x = 61,093,393.23
  5. Step 5: Solve for x
    x = 61,093,393.23/8,384.10
  6. Step 6: Final answer
    x = 7,286.82

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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.