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Finding the Fourth Proportional to 8,340.37, 11,503.32 and 5,683.16

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Solution

The fourth proportional to 8,340.37, 11,503.32 and 5,683.16 is: 7,838.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.37 : 11,503.32 = 5,683.16 : x
  2. Step 2: Convert to fraction form
    8,340.37/11,503.32 = 5,683.16/x
  3. Step 3: Cross multiply
    8,340.37x = 11,503.32 × 5,683.16
  4. Step 4: Simplify right side
    8,340.37x = 65,375,215.54
  5. Step 5: Solve for x
    x = 65,375,215.54/8,340.37
  6. Step 6: Final answer
    x = 7,838.41

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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.