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Finding the Fourth Proportional to 10,729.58, 16,090.30 and 5,181.08

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Solution

The fourth proportional to 10,729.58, 16,090.30 and 5,181.08 is: 7,769.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.58 : 16,090.30 = 5,181.08 : x
  2. Step 2: Convert to fraction form
    10,729.58/16,090.30 = 5,181.08/x
  3. Step 3: Cross multiply
    10,729.58x = 16,090.30 × 5,181.08
  4. Step 4: Simplify right side
    10,729.58x = 83,365,131.52
  5. Step 5: Solve for x
    x = 83,365,131.52/10,729.58
  6. Step 6: Final answer
    x = 7,769.65

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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.