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Finding the Fourth Proportional to 8,256.09, 11,394.17 and 4,719.53

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Solution

The fourth proportional to 8,256.09, 11,394.17 and 4,719.53 is: 6,513.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.09 : 11,394.17 = 4,719.53 : x
  2. Step 2: Convert to fraction form
    8,256.09/11,394.17 = 4,719.53/x
  3. Step 3: Cross multiply
    8,256.09x = 11,394.17 × 4,719.53
  4. Step 4: Simplify right side
    8,256.09x = 53,775,149.73
  5. Step 5: Solve for x
    x = 53,775,149.73/8,256.09
  6. Step 6: Final answer
    x = 6,513.39

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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.