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Finding the Fourth Proportional to 8,386.29, 12,580.97 and 3,453.24

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Solution

The fourth proportional to 8,386.29, 12,580.97 and 3,453.24 is: 5,180.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.29 : 12,580.97 = 3,453.24 : x
  2. Step 2: Convert to fraction form
    8,386.29/12,580.97 = 3,453.24/x
  3. Step 3: Cross multiply
    8,386.29x = 12,580.97 × 3,453.24
  4. Step 4: Simplify right side
    8,386.29x = 43,445,091.58
  5. Step 5: Solve for x
    x = 43,445,091.58/8,386.29
  6. Step 6: Final answer
    x = 5,180.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.