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Finding the Fourth Proportional to 8,291.56, 12,436.86 and 3,673

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Solution

The fourth proportional to 8,291.56, 12,436.86 and 3,673 is: 5,509.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.56 : 12,436.86 = 3,673 : x
  2. Step 2: Convert to fraction form
    8,291.56/12,436.86 = 3,673/x
  3. Step 3: Cross multiply
    8,291.56x = 12,436.86 × 3,673
  4. Step 4: Simplify right side
    8,291.56x = 45,680,586.78
  5. Step 5: Solve for x
    x = 45,680,586.78/8,291.56
  6. Step 6: Final answer
    x = 5,509.29

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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.