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Finding the Fourth Proportional to 7,786.44, 10,741.86 and 5,656.86

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Solution

The fourth proportional to 7,786.44, 10,741.86 and 5,656.86 is: 7,803.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.44 : 10,741.86 = 5,656.86 : x
  2. Step 2: Convert to fraction form
    7,786.44/10,741.86 = 5,656.86/x
  3. Step 3: Cross multiply
    7,786.44x = 10,741.86 × 5,656.86
  4. Step 4: Simplify right side
    7,786.44x = 60,765,198.16
  5. Step 5: Solve for x
    x = 60,765,198.16/7,786.44
  6. Step 6: Final answer
    x = 7,803.98

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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.