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Finding the Fourth Proportional to 8,391.66, 11,563.42 and 6,491.70

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Solution

The fourth proportional to 8,391.66, 11,563.42 and 6,491.70 is: 8,945.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,391.66 : 11,563.42 = 6,491.70 : x
  2. Step 2: Convert to fraction form
    8,391.66/11,563.42 = 6,491.70/x
  3. Step 3: Cross multiply
    8,391.66x = 11,563.42 × 6,491.70
  4. Step 4: Simplify right side
    8,391.66x = 75,066,253.61
  5. Step 5: Solve for x
    x = 75,066,253.61/8,391.66
  6. Step 6: Final answer
    x = 8,945.34

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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.