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Finding the Fourth Proportional to 8,205.28, 12,308.64 and 2,362.48

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Solution

The fourth proportional to 8,205.28, 12,308.64 and 2,362.48 is: 3,543.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.28 : 12,308.64 = 2,362.48 : x
  2. Step 2: Convert to fraction form
    8,205.28/12,308.64 = 2,362.48/x
  3. Step 3: Cross multiply
    8,205.28x = 12,308.64 × 2,362.48
  4. Step 4: Simplify right side
    8,205.28x = 29,078,915.83
  5. Step 5: Solve for x
    x = 29,078,915.83/8,205.28
  6. Step 6: Final answer
    x = 3,543.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.