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Finding the Fourth Proportional to 11,753.29, 16,219.61 and 6,375.77

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Solution

The fourth proportional to 11,753.29, 16,219.61 and 6,375.77 is: 8,798.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.29 : 16,219.61 = 6,375.77 : x
  2. Step 2: Convert to fraction form
    11,753.29/16,219.61 = 6,375.77/x
  3. Step 3: Cross multiply
    11,753.29x = 16,219.61 × 6,375.77
  4. Step 4: Simplify right side
    11,753.29x = 103,412,502.85
  5. Step 5: Solve for x
    x = 103,412,502.85/11,753.29
  6. Step 6: Final answer
    x = 8,798.60

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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.