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Finding the Fourth Proportional to 10,090.61, 15,138.23 and 5,080.48

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Solution

The fourth proportional to 10,090.61, 15,138.23 and 5,080.48 is: 7,621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.61 : 15,138.23 = 5,080.48 : x
  2. Step 2: Convert to fraction form
    10,090.61/15,138.23 = 5,080.48/x
  3. Step 3: Cross multiply
    10,090.61x = 15,138.23 × 5,080.48
  4. Step 4: Simplify right side
    10,090.61x = 76,909,487.38
  5. Step 5: Solve for x
    x = 76,909,487.38/10,090.61
  6. Step 6: Final answer
    x = 7,621.88

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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.