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Finding the Fourth Proportional to 10,486.14, 15,729.19 and 7,189.23

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Solution

The fourth proportional to 10,486.14, 15,729.19 and 7,189.23 is: 10,783.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.14 : 15,729.19 = 7,189.23 : x
  2. Step 2: Convert to fraction form
    10,486.14/15,729.19 = 7,189.23/x
  3. Step 3: Cross multiply
    10,486.14x = 15,729.19 × 7,189.23
  4. Step 4: Simplify right side
    10,486.14x = 113,080,805.64
  5. Step 5: Solve for x
    x = 113,080,805.64/10,486.14
  6. Step 6: Final answer
    x = 10,783.84

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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.