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Finding the Fourth Proportional to 8,068.93, 12,093 and 3,907.96

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Solution

The fourth proportional to 8,068.93, 12,093 and 3,907.96 is: 5,856.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,068.93 : 12,093 = 3,907.96 : x
  2. Step 2: Convert to fraction form
    8,068.93/12,093 = 3,907.96/x
  3. Step 3: Cross multiply
    8,068.93x = 12,093 × 3,907.96
  4. Step 4: Simplify right side
    8,068.93x = 47,258,960.28
  5. Step 5: Solve for x
    x = 47,258,960.28/8,068.93
  6. Step 6: Final answer
    x = 5,856.91

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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.