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Finding the Fourth Proportional to 11,416.70, 15,755.66 and 6,381.05

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Solution

The fourth proportional to 11,416.70, 15,755.66 and 6,381.05 is: 8,806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.70 : 15,755.66 = 6,381.05 : x
  2. Step 2: Convert to fraction form
    11,416.70/15,755.66 = 6,381.05/x
  3. Step 3: Cross multiply
    11,416.70x = 15,755.66 × 6,381.05
  4. Step 4: Simplify right side
    11,416.70x = 100,537,543.56
  5. Step 5: Solve for x
    x = 100,537,543.56/11,416.70
  6. Step 6: Final answer
    x = 8,806.19

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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.