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Finding the Fourth Proportional to 8,340.92, 11,501.26 and 5,683

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Solution

The fourth proportional to 8,340.92, 11,501.26 and 5,683 is: 7,836.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.92 : 11,501.26 = 5,683 : x
  2. Step 2: Convert to fraction form
    8,340.92/11,501.26 = 5,683/x
  3. Step 3: Cross multiply
    8,340.92x = 11,501.26 × 5,683
  4. Step 4: Simplify right side
    8,340.92x = 65,361,660.58
  5. Step 5: Solve for x
    x = 65,361,660.58/8,340.92
  6. Step 6: Final answer
    x = 7,836.27

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Why These Related Problems?

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