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Finding the Fourth Proportional to 8,402.54, 11,595.51 and 4,625.57

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Solution

The fourth proportional to 8,402.54, 11,595.51 and 4,625.57 is: 6,383.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.54 : 11,595.51 = 4,625.57 : x
  2. Step 2: Convert to fraction form
    8,402.54/11,595.51 = 4,625.57/x
  3. Step 3: Cross multiply
    8,402.54x = 11,595.51 × 4,625.57
  4. Step 4: Simplify right side
    8,402.54x = 53,635,785.21
  5. Step 5: Solve for x
    x = 53,635,785.21/8,402.54
  6. Step 6: Final answer
    x = 6,383.29

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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.