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Finding the Fourth Proportional to 10,090.64, 15,138.52 and 3,165.20

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Solution

The fourth proportional to 10,090.64, 15,138.52 and 3,165.20 is: 4,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.64 : 15,138.52 = 3,165.20 : x
  2. Step 2: Convert to fraction form
    10,090.64/15,138.52 = 3,165.20/x
  3. Step 3: Cross multiply
    10,090.64x = 15,138.52 × 3,165.20
  4. Step 4: Simplify right side
    10,090.64x = 47,916,443.50
  5. Step 5: Solve for x
    x = 47,916,443.50/10,090.64
  6. Step 6: Final answer
    x = 4,748.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.