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Finding the Fourth Proportional to 8,205.32, 11,315.76 and 7,257.62

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Solution

The fourth proportional to 8,205.32, 11,315.76 and 7,257.62 is: 10,008.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.32 : 11,315.76 = 7,257.62 : x
  2. Step 2: Convert to fraction form
    8,205.32/11,315.76 = 7,257.62/x
  3. Step 3: Cross multiply
    8,205.32x = 11,315.76 × 7,257.62
  4. Step 4: Simplify right side
    8,205.32x = 82,125,486.09
  5. Step 5: Solve for x
    x = 82,125,486.09/8,205.32
  6. Step 6: Final answer
    x = 10,008.81

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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.