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Finding the Fourth Proportional to 7,796.76, 10,759.38 and 4,259.96

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Solution

The fourth proportional to 7,796.76, 10,759.38 and 4,259.96 is: 5,878.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.76 : 10,759.38 = 4,259.96 : x
  2. Step 2: Convert to fraction form
    7,796.76/10,759.38 = 4,259.96/x
  3. Step 3: Cross multiply
    7,796.76x = 10,759.38 × 4,259.96
  4. Step 4: Simplify right side
    7,796.76x = 45,834,528.42
  5. Step 5: Solve for x
    x = 45,834,528.42/7,796.76
  6. Step 6: Final answer
    x = 5,878.66

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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.