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Finding the Fourth Proportional to 10,735.12, 16,090.85 and 8,094.15

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Solution

The fourth proportional to 10,735.12, 16,090.85 and 8,094.15 is: 12,132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.12 : 16,090.85 = 8,094.15 : x
  2. Step 2: Convert to fraction form
    10,735.12/16,090.85 = 8,094.15/x
  3. Step 3: Cross multiply
    10,735.12x = 16,090.85 × 8,094.15
  4. Step 4: Simplify right side
    10,735.12x = 130,241,825.38
  5. Step 5: Solve for x
    x = 130,241,825.38/10,735.12
  6. Step 6: Final answer
    x = 12,132.32

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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.