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Finding the Fourth Proportional to 8,123.99, 12,176.16 and 3,957.75

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Solution

The fourth proportional to 8,123.99, 12,176.16 and 3,957.75 is: 5,931.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.99 : 12,176.16 = 3,957.75 : x
  2. Step 2: Convert to fraction form
    8,123.99/12,176.16 = 3,957.75/x
  3. Step 3: Cross multiply
    8,123.99x = 12,176.16 × 3,957.75
  4. Step 4: Simplify right side
    8,123.99x = 48,190,197.24
  5. Step 5: Solve for x
    x = 48,190,197.24/8,123.99
  6. Step 6: Final answer
    x = 5,931.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.