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Finding the Fourth Proportional to 10,090.64, 15,135.92 and 3,165.14

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Solution

The fourth proportional to 10,090.64, 15,135.92 and 3,165.14 is: 4,747.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.64 : 15,135.92 = 3,165.14 : x
  2. Step 2: Convert to fraction form
    10,090.64/15,135.92 = 3,165.14/x
  3. Step 3: Cross multiply
    10,090.64x = 15,135.92 × 3,165.14
  4. Step 4: Simplify right side
    10,090.64x = 47,907,305.83
  5. Step 5: Solve for x
    x = 47,907,305.83/10,090.64
  6. Step 6: Final answer
    x = 4,747.70

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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.