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Finding the Fourth Proportional to 8,420.18, 12,608.40 and 8,211.20

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Solution

The fourth proportional to 8,420.18, 12,608.40 and 8,211.20 is: 12,295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.18 : 12,608.40 = 8,211.20 : x
  2. Step 2: Convert to fraction form
    8,420.18/12,608.40 = 8,211.20/x
  3. Step 3: Cross multiply
    8,420.18x = 12,608.40 × 8,211.20
  4. Step 4: Simplify right side
    8,420.18x = 103,530,094.08
  5. Step 5: Solve for x
    x = 103,530,094.08/8,420.18
  6. Step 6: Final answer
    x = 12,295.47

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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.