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Finding the Fourth Proportional to 7,617.31, 10,511.81 and 4,260.08

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Solution

The fourth proportional to 7,617.31, 10,511.81 and 4,260.08 is: 5,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.31 : 10,511.81 = 4,260.08 : x
  2. Step 2: Convert to fraction form
    7,617.31/10,511.81 = 4,260.08/x
  3. Step 3: Cross multiply
    7,617.31x = 10,511.81 × 4,260.08
  4. Step 4: Simplify right side
    7,617.31x = 44,781,151.54
  5. Step 5: Solve for x
    x = 44,781,151.54/7,617.31
  6. Step 6: Final answer
    x = 5,878.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.