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Finding the Fourth Proportional to 10,679.40, 16,016.52 and 4,102.20

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Solution

The fourth proportional to 10,679.40, 16,016.52 and 4,102.20 is: 6,152.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.40 : 16,016.52 = 4,102.20 : x
  2. Step 2: Convert to fraction form
    10,679.40/16,016.52 = 4,102.20/x
  3. Step 3: Cross multiply
    10,679.40x = 16,016.52 × 4,102.20
  4. Step 4: Simplify right side
    10,679.40x = 65,702,968.34
  5. Step 5: Solve for x
    x = 65,702,968.34/10,679.40
  6. Step 6: Final answer
    x = 6,152.31

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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.