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Finding the Fourth Proportional to 8,402.23, 11,594.28 and 4,625.38

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Solution

The fourth proportional to 8,402.23, 11,594.28 and 4,625.38 is: 6,382.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.23 : 11,594.28 = 4,625.38 : x
  2. Step 2: Convert to fraction form
    8,402.23/11,594.28 = 4,625.38/x
  3. Step 3: Cross multiply
    8,402.23x = 11,594.28 × 4,625.38
  4. Step 4: Simplify right side
    8,402.23x = 53,627,950.83
  5. Step 5: Solve for x
    x = 53,627,950.83/8,402.23
  6. Step 6: Final answer
    x = 6,382.59

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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.