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Finding the Fourth Proportional to 12,761.40, 19,137.83 and 5,364.48

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Solution

The fourth proportional to 12,761.40, 19,137.83 and 5,364.48 is: 8,044.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,761.40 : 19,137.83 = 5,364.48 : x
  2. Step 2: Convert to fraction form
    12,761.40/19,137.83 = 5,364.48/x
  3. Step 3: Cross multiply
    12,761.40x = 19,137.83 × 5,364.48
  4. Step 4: Simplify right side
    12,761.40x = 102,664,479.46
  5. Step 5: Solve for x
    x = 102,664,479.46/12,761.40
  6. Step 6: Final answer
    x = 8,044.92

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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.