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Finding the Fourth Proportional to 7,887.50, 11,830.92 and 1,964.39

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Solution

The fourth proportional to 7,887.50, 11,830.92 and 1,964.39 is: 2,946.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.50 : 11,830.92 = 1,964.39 : x
  2. Step 2: Convert to fraction form
    7,887.50/11,830.92 = 1,964.39/x
  3. Step 3: Cross multiply
    7,887.50x = 11,830.92 × 1,964.39
  4. Step 4: Simplify right side
    7,887.50x = 23,240,540.94
  5. Step 5: Solve for x
    x = 23,240,540.94/7,887.50
  6. Step 6: Final answer
    x = 2,946.50

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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.