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Finding the Fourth Proportional to 7,764.96, 10,715.84 and 4,228.37

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Solution

The fourth proportional to 7,764.96, 10,715.84 and 4,228.37 is: 5,835.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.96 : 10,715.84 = 4,228.37 : x
  2. Step 2: Convert to fraction form
    7,764.96/10,715.84 = 4,228.37/x
  3. Step 3: Cross multiply
    7,764.96x = 10,715.84 × 4,228.37
  4. Step 4: Simplify right side
    7,764.96x = 45,310,536.38
  5. Step 5: Solve for x
    x = 45,310,536.38/7,764.96
  6. Step 6: Final answer
    x = 5,835.26

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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.