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Finding the Fourth Proportional to 7,617.64, 11,418.62 and 3,460.54

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Solution

The fourth proportional to 7,617.64, 11,418.62 and 3,460.54 is: 5,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.64 : 11,418.62 = 3,460.54 : x
  2. Step 2: Convert to fraction form
    7,617.64/11,418.62 = 3,460.54/x
  3. Step 3: Cross multiply
    7,617.64x = 11,418.62 × 3,460.54
  4. Step 4: Simplify right side
    7,617.64x = 39,514,591.25
  5. Step 5: Solve for x
    x = 39,514,591.25/7,617.64
  6. Step 6: Final answer
    x = 5,187.25

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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.