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Finding the Fourth Proportional to 11,625.83, 16,043.76 and 6,320.76

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Solution

The fourth proportional to 11,625.83, 16,043.76 and 6,320.76 is: 8,722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,625.83 : 16,043.76 = 6,320.76 : x
  2. Step 2: Convert to fraction form
    11,625.83/16,043.76 = 6,320.76/x
  3. Step 3: Cross multiply
    11,625.83x = 16,043.76 × 6,320.76
  4. Step 4: Simplify right side
    11,625.83x = 101,408,672.59
  5. Step 5: Solve for x
    x = 101,408,672.59/11,625.83
  6. Step 6: Final answer
    x = 8,722.71

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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.