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Finding the Fourth Proportional to 11,980.48, 16,533.13 and 6,947.69

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Solution

The fourth proportional to 11,980.48, 16,533.13 and 6,947.69 is: 9,587.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.48 : 16,533.13 = 6,947.69 : x
  2. Step 2: Convert to fraction form
    11,980.48/16,533.13 = 6,947.69/x
  3. Step 3: Cross multiply
    11,980.48x = 16,533.13 × 6,947.69
  4. Step 4: Simplify right side
    11,980.48x = 114,867,005.96
  5. Step 5: Solve for x
    x = 114,867,005.96/11,980.48
  6. Step 6: Final answer
    x = 9,587.85

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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.