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Finding the Fourth Proportional to 12,411.98, 17,128.62 and 6,746.73

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Solution

The fourth proportional to 12,411.98, 17,128.62 and 6,746.73 is: 9,310.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.98 : 17,128.62 = 6,746.73 : x
  2. Step 2: Convert to fraction form
    12,411.98/17,128.62 = 6,746.73/x
  3. Step 3: Cross multiply
    12,411.98x = 17,128.62 × 6,746.73
  4. Step 4: Simplify right side
    12,411.98x = 115,562,174.41
  5. Step 5: Solve for x
    x = 115,562,174.41/12,411.98
  6. Step 6: Final answer
    x = 9,310.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.