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Finding the Fourth Proportional to 8,324.93, 12,482.82 and 5,695.41

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Solution

The fourth proportional to 8,324.93, 12,482.82 and 5,695.41 is: 8,539.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.93 : 12,482.82 = 5,695.41 : x
  2. Step 2: Convert to fraction form
    8,324.93/12,482.82 = 5,695.41/x
  3. Step 3: Cross multiply
    8,324.93x = 12,482.82 × 5,695.41
  4. Step 4: Simplify right side
    8,324.93x = 71,094,777.86
  5. Step 5: Solve for x
    x = 71,094,777.86/8,324.93
  6. Step 6: Final answer
    x = 8,539.99

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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.