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Finding the Fourth Proportional to 10,739.88, 16,091.55 and 5,195.88

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Solution

The fourth proportional to 10,739.88, 16,091.55 and 5,195.88 is: 7,784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,739.88 : 16,091.55 = 5,195.88 : x
  2. Step 2: Convert to fraction form
    10,739.88/16,091.55 = 5,195.88/x
  3. Step 3: Cross multiply
    10,739.88x = 16,091.55 × 5,195.88
  4. Step 4: Simplify right side
    10,739.88x = 83,609,762.81
  5. Step 5: Solve for x
    x = 83,609,762.81/10,739.88
  6. Step 6: Final answer
    x = 7,784.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.