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Finding the Fourth Proportional to 8,347.26, 11,517.32 and 4,989.51

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Solution

The fourth proportional to 8,347.26, 11,517.32 and 4,989.51 is: 6,884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,347.26 : 11,517.32 = 4,989.51 : x
  2. Step 2: Convert to fraction form
    8,347.26/11,517.32 = 4,989.51/x
  3. Step 3: Cross multiply
    8,347.26x = 11,517.32 × 4,989.51
  4. Step 4: Simplify right side
    8,347.26x = 57,465,795.79
  5. Step 5: Solve for x
    x = 57,465,795.79/8,347.26
  6. Step 6: Final answer
    x = 6,884.39

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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.