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Finding the Fourth Proportional to 11,726.45, 16,182.51 and 6,348.93

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Solution

The fourth proportional to 11,726.45, 16,182.51 and 6,348.93 is: 8,761.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.45 : 16,182.51 = 6,348.93 : x
  2. Step 2: Convert to fraction form
    11,726.45/16,182.51 = 6,348.93/x
  3. Step 3: Cross multiply
    11,726.45x = 16,182.51 × 6,348.93
  4. Step 4: Simplify right side
    11,726.45x = 102,741,623.21
  5. Step 5: Solve for x
    x = 102,741,623.21/11,726.45
  6. Step 6: Final answer
    x = 8,761.53

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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.