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Finding the Fourth Proportional to 7,887.50, 11,838.53 and 3,994.64

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Solution

The fourth proportional to 7,887.50, 11,838.53 and 3,994.64 is: 5,995.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.50 : 11,838.53 = 3,994.64 : x
  2. Step 2: Convert to fraction form
    7,887.50/11,838.53 = 3,994.64/x
  3. Step 3: Cross multiply
    7,887.50x = 11,838.53 × 3,994.64
  4. Step 4: Simplify right side
    7,887.50x = 47,290,616.27
  5. Step 5: Solve for x
    x = 47,290,616.27/7,887.50
  6. Step 6: Final answer
    x = 5,995.64

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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.