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Finding the Fourth Proportional to 8,155.46, 12,205.38 and 5,657.48

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Solution

The fourth proportional to 8,155.46, 12,205.38 and 5,657.48 is: 8,466.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.46 : 12,205.38 = 5,657.48 : x
  2. Step 2: Convert to fraction form
    8,155.46/12,205.38 = 5,657.48/x
  3. Step 3: Cross multiply
    8,155.46x = 12,205.38 × 5,657.48
  4. Step 4: Simplify right side
    8,155.46x = 69,051,693.24
  5. Step 5: Solve for x
    x = 69,051,693.24/8,155.46
  6. Step 6: Final answer
    x = 8,466.93

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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.