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Finding the Fourth Proportional to 12,910.36, 19,357.46 and 5,411.90

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Solution

The fourth proportional to 12,910.36, 19,357.46 and 5,411.90 is: 8,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,910.36 : 19,357.46 = 5,411.90 : x
  2. Step 2: Convert to fraction form
    12,910.36/19,357.46 = 5,411.90/x
  3. Step 3: Cross multiply
    12,910.36x = 19,357.46 × 5,411.90
  4. Step 4: Simplify right side
    12,910.36x = 104,760,637.77
  5. Step 5: Solve for x
    x = 104,760,637.77/12,910.36
  6. Step 6: Final answer
    x = 8,114.46

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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.