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Finding the Fourth Proportional to 10,129.44, 15,194.16 and 8,090.40

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Solution

The fourth proportional to 10,129.44, 15,194.16 and 8,090.40 is: 12,135.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.44 : 15,194.16 = 8,090.40 : x
  2. Step 2: Convert to fraction form
    10,129.44/15,194.16 = 8,090.40/x
  3. Step 3: Cross multiply
    10,129.44x = 15,194.16 × 8,090.40
  4. Step 4: Simplify right side
    10,129.44x = 122,926,832.06
  5. Step 5: Solve for x
    x = 122,926,832.06/10,129.44
  6. Step 6: Final answer
    x = 12,135.60

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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.