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Finding the Fourth Proportional to 8,423.47, 11,623.60 and 8,140.38

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Solution

The fourth proportional to 8,423.47, 11,623.60 and 8,140.38 is: 11,232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.47 : 11,623.60 = 8,140.38 : x
  2. Step 2: Convert to fraction form
    8,423.47/11,623.60 = 8,140.38/x
  3. Step 3: Cross multiply
    8,423.47x = 11,623.60 × 8,140.38
  4. Step 4: Simplify right side
    8,423.47x = 94,620,520.97
  5. Step 5: Solve for x
    x = 94,620,520.97/8,423.47
  6. Step 6: Final answer
    x = 11,232.96

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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.