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Finding the Fourth Proportional to 7,893.12, 11,847.12 and 4,000.32

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Solution

The fourth proportional to 7,893.12, 11,847.12 and 4,000.32 is: 6,004.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.12 : 11,847.12 = 4,000.32 : x
  2. Step 2: Convert to fraction form
    7,893.12/11,847.12 = 4,000.32/x
  3. Step 3: Cross multiply
    7,893.12x = 11,847.12 × 4,000.32
  4. Step 4: Simplify right side
    7,893.12x = 47,392,271.08
  5. Step 5: Solve for x
    x = 47,392,271.08/7,893.12
  6. Step 6: Final answer
    x = 6,004.25

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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.