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Finding the Fourth Proportional to 11,775.87, 16,250.72 and 6,398.28

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Solution

The fourth proportional to 11,775.87, 16,250.72 and 6,398.28 is: 8,829.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.87 : 16,250.72 = 6,398.28 : x
  2. Step 2: Convert to fraction form
    11,775.87/16,250.72 = 6,398.28/x
  3. Step 3: Cross multiply
    11,775.87x = 16,250.72 × 6,398.28
  4. Step 4: Simplify right side
    11,775.87x = 103,976,624.77
  5. Step 5: Solve for x
    x = 103,976,624.77/11,775.87
  6. Step 6: Final answer
    x = 8,829.63

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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.