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Finding the Fourth Proportional to 7,346.10, 11,016.90 and 2,414.60

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Solution

The fourth proportional to 7,346.10, 11,016.90 and 2,414.60 is: 3,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,346.10 : 11,016.90 = 2,414.60 : x
  2. Step 2: Convert to fraction form
    7,346.10/11,016.90 = 2,414.60/x
  3. Step 3: Cross multiply
    7,346.10x = 11,016.90 × 2,414.60
  4. Step 4: Simplify right side
    7,346.10x = 26,601,406.74
  5. Step 5: Solve for x
    x = 26,601,406.74/7,346.10
  6. Step 6: Final answer
    x = 3,621.16

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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.