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Finding the Fourth Proportional to 7,886.50, 11,829.42 and 1,963.39

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Solution

The fourth proportional to 7,886.50, 11,829.42 and 1,963.39 is: 2,945.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.50 : 11,829.42 = 1,963.39 : x
  2. Step 2: Convert to fraction form
    7,886.50/11,829.42 = 1,963.39/x
  3. Step 3: Cross multiply
    7,886.50x = 11,829.42 × 1,963.39
  4. Step 4: Simplify right side
    7,886.50x = 23,225,764.93
  5. Step 5: Solve for x
    x = 23,225,764.93/7,886.50
  6. Step 6: Final answer
    x = 2,945.00

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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.