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Finding the Fourth Proportional to 11,750.82, 16,216.16 and 6,445.68

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Solution

The fourth proportional to 11,750.82, 16,216.16 and 6,445.68 is: 8,895.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.82 : 16,216.16 = 6,445.68 : x
  2. Step 2: Convert to fraction form
    11,750.82/16,216.16 = 6,445.68/x
  3. Step 3: Cross multiply
    11,750.82x = 16,216.16 × 6,445.68
  4. Step 4: Simplify right side
    11,750.82x = 104,524,178.19
  5. Step 5: Solve for x
    x = 104,524,178.19/11,750.82
  6. Step 6: Final answer
    x = 8,895.05

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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.