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Finding the Fourth Proportional to 8,164.34, 12,243.60 and 4,211.40

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Solution

The fourth proportional to 8,164.34, 12,243.60 and 4,211.40 is: 6,315.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.34 : 12,243.60 = 4,211.40 : x
  2. Step 2: Convert to fraction form
    8,164.34/12,243.60 = 4,211.40/x
  3. Step 3: Cross multiply
    8,164.34x = 12,243.60 × 4,211.40
  4. Step 4: Simplify right side
    8,164.34x = 51,562,697.04
  5. Step 5: Solve for x
    x = 51,562,697.04/8,164.34
  6. Step 6: Final answer
    x = 6,315.60

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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.