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Finding the Fourth Proportional to 12,863.90, 19,295.86 and 5,072.50

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Solution

The fourth proportional to 12,863.90, 19,295.86 and 5,072.50 is: 7,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.90 : 19,295.86 = 5,072.50 : x
  2. Step 2: Convert to fraction form
    12,863.90/19,295.86 = 5,072.50/x
  3. Step 3: Cross multiply
    12,863.90x = 19,295.86 × 5,072.50
  4. Step 4: Simplify right side
    12,863.90x = 97,878,249.85
  5. Step 5: Solve for x
    x = 97,878,249.85/12,863.90
  6. Step 6: Final answer
    x = 7,608.75

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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.