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Finding the Fourth Proportional to 7,411.48, 10,228.17 and 4,268.68

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Solution

The fourth proportional to 7,411.48, 10,228.17 and 4,268.68 is: 5,890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.48 : 10,228.17 = 4,268.68 : x
  2. Step 2: Convert to fraction form
    7,411.48/10,228.17 = 4,268.68/x
  3. Step 3: Cross multiply
    7,411.48x = 10,228.17 × 4,268.68
  4. Step 4: Simplify right side
    7,411.48x = 43,660,784.72
  5. Step 5: Solve for x
    x = 43,660,784.72/7,411.48
  6. Step 6: Final answer
    x = 5,890.97

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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.