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Finding the Fourth Proportional to 8,434.85, 11,644.53 and 5,452.37

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Solution

The fourth proportional to 8,434.85, 11,644.53 and 5,452.37 is: 7,527.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.85 : 11,644.53 = 5,452.37 : x
  2. Step 2: Convert to fraction form
    8,434.85/11,644.53 = 5,452.37/x
  3. Step 3: Cross multiply
    8,434.85x = 11,644.53 × 5,452.37
  4. Step 4: Simplify right side
    8,434.85x = 63,490,227.81
  5. Step 5: Solve for x
    x = 63,490,227.81/8,434.85
  6. Step 6: Final answer
    x = 7,527.14

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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.