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Finding the Fourth Proportional to 12,750.78, 19,118.81 and 4,950.48

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Solution

The fourth proportional to 12,750.78, 19,118.81 and 4,950.48 is: 7,422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,750.78 : 19,118.81 = 4,950.48 : x
  2. Step 2: Convert to fraction form
    12,750.78/19,118.81 = 4,950.48/x
  3. Step 3: Cross multiply
    12,750.78x = 19,118.81 × 4,950.48
  4. Step 4: Simplify right side
    12,750.78x = 94,647,286.53
  5. Step 5: Solve for x
    x = 94,647,286.53/12,750.78
  6. Step 6: Final answer
    x = 7,422.86

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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.