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Finding the Fourth Proportional to 8,549.20, 12,815 and 5,431.48

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Solution

The fourth proportional to 8,549.20, 12,815 and 5,431.48 is: 8,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.20 : 12,815 = 5,431.48 : x
  2. Step 2: Convert to fraction form
    8,549.20/12,815 = 5,431.48/x
  3. Step 3: Cross multiply
    8,549.20x = 12,815 × 5,431.48
  4. Step 4: Simplify right side
    8,549.20x = 69,604,416.20
  5. Step 5: Solve for x
    x = 69,604,416.20/8,549.20
  6. Step 6: Final answer
    x = 8,141.63

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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.