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Finding the Fourth Proportional to 8,540.30, 12,820.85 and 5,420.30

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Solution

The fourth proportional to 8,540.30, 12,820.85 and 5,420.30 is: 8,137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.30 : 12,820.85 = 5,420.30 : x
  2. Step 2: Convert to fraction form
    8,540.30/12,820.85 = 5,420.30/x
  3. Step 3: Cross multiply
    8,540.30x = 12,820.85 × 5,420.30
  4. Step 4: Simplify right side
    8,540.30x = 69,492,853.26
  5. Step 5: Solve for x
    x = 69,492,853.26/8,540.30
  6. Step 6: Final answer
    x = 8,137.05

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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.