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Finding the Fourth Proportional to 8,123.40, 11,211.02 and 4,586.53

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Solution

The fourth proportional to 8,123.40, 11,211.02 and 4,586.53 is: 6,329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.40 : 11,211.02 = 4,586.53 : x
  2. Step 2: Convert to fraction form
    8,123.40/11,211.02 = 4,586.53/x
  3. Step 3: Cross multiply
    8,123.40x = 11,211.02 × 4,586.53
  4. Step 4: Simplify right side
    8,123.40x = 51,419,679.56
  5. Step 5: Solve for x
    x = 51,419,679.56/8,123.40
  6. Step 6: Final answer
    x = 6,329.82

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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.