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Finding the Fourth Proportional to 8,174.85, 11,286.53 and 5,032.86

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Solution

The fourth proportional to 8,174.85, 11,286.53 and 5,032.86 is: 6,948.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,174.85 : 11,286.53 = 5,032.86 : x
  2. Step 2: Convert to fraction form
    8,174.85/11,286.53 = 5,032.86/x
  3. Step 3: Cross multiply
    8,174.85x = 11,286.53 × 5,032.86
  4. Step 4: Simplify right side
    8,174.85x = 56,803,525.38
  5. Step 5: Solve for x
    x = 56,803,525.38/8,174.85
  6. Step 6: Final answer
    x = 6,948.57

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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.