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Finding the Fourth Proportional to 8,402.25, 11,596.02 and 4,625.71

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Solution

The fourth proportional to 8,402.25, 11,596.02 and 4,625.71 is: 6,383.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.25 : 11,596.02 = 4,625.71 : x
  2. Step 2: Convert to fraction form
    8,402.25/11,596.02 = 4,625.71/x
  3. Step 3: Cross multiply
    8,402.25x = 11,596.02 × 4,625.71
  4. Step 4: Simplify right side
    8,402.25x = 53,639,825.67
  5. Step 5: Solve for x
    x = 53,639,825.67/8,402.25
  6. Step 6: Final answer
    x = 6,383.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.