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Finding the Fourth Proportional to 11,416.76, 15,754.82 and 6,381.02

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Solution

The fourth proportional to 11,416.76, 15,754.82 and 6,381.02 is: 8,805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.76 : 15,754.82 = 6,381.02 : x
  2. Step 2: Convert to fraction form
    11,416.76/15,754.82 = 6,381.02/x
  3. Step 3: Cross multiply
    11,416.76x = 15,754.82 × 6,381.02
  4. Step 4: Simplify right side
    11,416.76x = 100,531,821.52
  5. Step 5: Solve for x
    x = 100,531,821.52/11,416.76
  6. Step 6: Final answer
    x = 8,805.64

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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.