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Finding the Fourth Proportional to 10,119.72, 15,186.44 and 3,546

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Solution

The fourth proportional to 10,119.72, 15,186.44 and 3,546 is: 5,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119.72 : 15,186.44 = 3,546 : x
  2. Step 2: Convert to fraction form
    10,119.72/15,186.44 = 3,546/x
  3. Step 3: Cross multiply
    10,119.72x = 15,186.44 × 3,546
  4. Step 4: Simplify right side
    10,119.72x = 53,851,116.24
  5. Step 5: Solve for x
    x = 53,851,116.24/10,119.72
  6. Step 6: Final answer
    x = 5,321.40

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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.