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Finding the Fourth Proportional to 7,617.74, 11,418.86 and 3,460.71

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Solution

The fourth proportional to 7,617.74, 11,418.86 and 3,460.71 is: 5,187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.74 : 11,418.86 = 3,460.71 : x
  2. Step 2: Convert to fraction form
    7,617.74/11,418.86 = 3,460.71/x
  3. Step 3: Cross multiply
    7,617.74x = 11,418.86 × 3,460.71
  4. Step 4: Simplify right side
    7,617.74x = 39,517,362.99
  5. Step 5: Solve for x
    x = 39,517,362.99/7,617.74
  6. Step 6: Final answer
    x = 5,187.54

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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.