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Finding the Fourth Proportional to 11,601.30, 16,009.85 and 6,820.97

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Solution

The fourth proportional to 11,601.30, 16,009.85 and 6,820.97 is: 9,412.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,601.30 : 16,009.85 = 6,820.97 : x
  2. Step 2: Convert to fraction form
    11,601.30/16,009.85 = 6,820.97/x
  3. Step 3: Cross multiply
    11,601.30x = 16,009.85 × 6,820.97
  4. Step 4: Simplify right side
    11,601.30x = 109,202,763.63
  5. Step 5: Solve for x
    x = 109,202,763.63/11,601.30
  6. Step 6: Final answer
    x = 9,412.98

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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.