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Finding the Fourth Proportional to 11,800.63, 16,279.41 and 7,549.66

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Solution

The fourth proportional to 11,800.63, 16,279.41 and 7,549.66 is: 10,415.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.63 : 16,279.41 = 7,549.66 : x
  2. Step 2: Convert to fraction form
    11,800.63/16,279.41 = 7,549.66/x
  3. Step 3: Cross multiply
    11,800.63x = 16,279.41 × 7,549.66
  4. Step 4: Simplify right side
    11,800.63x = 122,904,010.50
  5. Step 5: Solve for x
    x = 122,904,010.50/11,800.63
  6. Step 6: Final answer
    x = 10,415.04

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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.