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Finding the Fourth Proportional to 11,416.64, 15,755.76 and 6,381.84

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Solution

The fourth proportional to 11,416.64, 15,755.76 and 6,381.84 is: 8,807.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.64 : 15,755.76 = 6,381.84 : x
  2. Step 2: Convert to fraction form
    11,416.64/15,755.76 = 6,381.84/x
  3. Step 3: Cross multiply
    11,416.64x = 15,755.76 × 6,381.84
  4. Step 4: Simplify right side
    11,416.64x = 100,550,739.40
  5. Step 5: Solve for x
    x = 100,550,739.40/11,416.64
  6. Step 6: Final answer
    x = 8,807.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.