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Finding the Fourth Proportional to 11,800.06, 16,283.76 and 6,494.16

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Solution

The fourth proportional to 11,800.06, 16,283.76 and 6,494.16 is: 8,961.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.06 : 16,283.76 = 6,494.16 : x
  2. Step 2: Convert to fraction form
    11,800.06/16,283.76 = 6,494.16/x
  3. Step 3: Cross multiply
    11,800.06x = 16,283.76 × 6,494.16
  4. Step 4: Simplify right side
    11,800.06x = 105,749,342.84
  5. Step 5: Solve for x
    x = 105,749,342.84/11,800.06
  6. Step 6: Final answer
    x = 8,961.76

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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.