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Finding the Fourth Proportional to 11,618.84, 16,034.11 and 6,313.66

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Solution

The fourth proportional to 11,618.84, 16,034.11 and 6,313.66 is: 8,712.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,618.84 : 16,034.11 = 6,313.66 : x
  2. Step 2: Convert to fraction form
    11,618.84/16,034.11 = 6,313.66/x
  3. Step 3: Cross multiply
    11,618.84x = 16,034.11 × 6,313.66
  4. Step 4: Simplify right side
    11,618.84x = 101,233,887.37
  5. Step 5: Solve for x
    x = 101,233,887.37/11,618.84
  6. Step 6: Final answer
    x = 8,712.91

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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.