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Finding the Fourth Proportional to 8,109.40, 12,164.10 and 4,610.20

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Solution

The fourth proportional to 8,109.40, 12,164.10 and 4,610.20 is: 6,915.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.40 : 12,164.10 = 4,610.20 : x
  2. Step 2: Convert to fraction form
    8,109.40/12,164.10 = 4,610.20/x
  3. Step 3: Cross multiply
    8,109.40x = 12,164.10 × 4,610.20
  4. Step 4: Simplify right side
    8,109.40x = 56,078,933.82
  5. Step 5: Solve for x
    x = 56,078,933.82/8,109.40
  6. Step 6: Final answer
    x = 6,915.30

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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.