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Finding the Fourth Proportional to 10,090.80, 13,920.12 and 6,555.96

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Solution

The fourth proportional to 10,090.80, 13,920.12 and 6,555.96 is: 9,043.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.80 : 13,920.12 = 6,555.96 : x
  2. Step 2: Convert to fraction form
    10,090.80/13,920.12 = 6,555.96/x
  3. Step 3: Cross multiply
    10,090.80x = 13,920.12 × 6,555.96
  4. Step 4: Simplify right side
    10,090.80x = 91,259,749.92
  5. Step 5: Solve for x
    x = 91,259,749.92/10,090.80
  6. Step 6: Final answer
    x = 9,043.86

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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.