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Finding the Fourth Proportional to 12,858.72, 19,290.80 and 4,094.36

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Solution

The fourth proportional to 12,858.72, 19,290.80 and 4,094.36 is: 6,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.72 : 19,290.80 = 4,094.36 : x
  2. Step 2: Convert to fraction form
    12,858.72/19,290.80 = 4,094.36/x
  3. Step 3: Cross multiply
    12,858.72x = 19,290.80 × 4,094.36
  4. Step 4: Simplify right side
    12,858.72x = 78,983,479.89
  5. Step 5: Solve for x
    x = 78,983,479.89/12,858.72
  6. Step 6: Final answer
    x = 6,142.41

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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.