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Finding the Fourth Proportional to 10,090.10, 15,137.57 and 3,164.60

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Solution

The fourth proportional to 10,090.10, 15,137.57 and 3,164.60 is: 4,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.10 : 15,137.57 = 3,164.60 : x
  2. Step 2: Convert to fraction form
    10,090.10/15,137.57 = 3,164.60/x
  3. Step 3: Cross multiply
    10,090.10x = 15,137.57 × 3,164.60
  4. Step 4: Simplify right side
    10,090.10x = 47,904,354.02
  5. Step 5: Solve for x
    x = 47,904,354.02/10,090.10
  6. Step 6: Final answer
    x = 4,747.66

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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.