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Finding the Fourth Proportional to 8,182.32, 11,291.49 and 4,645.50

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Solution

The fourth proportional to 8,182.32, 11,291.49 and 4,645.50 is: 6,410.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.32 : 11,291.49 = 4,645.50 : x
  2. Step 2: Convert to fraction form
    8,182.32/11,291.49 = 4,645.50/x
  3. Step 3: Cross multiply
    8,182.32x = 11,291.49 × 4,645.50
  4. Step 4: Simplify right side
    8,182.32x = 52,454,616.80
  5. Step 5: Solve for x
    x = 52,454,616.80/8,182.32
  6. Step 6: Final answer
    x = 6,410.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.