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Finding the Fourth Proportional to 10,090.31, 15,138.86 and 4,467.20

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Solution

The fourth proportional to 10,090.31, 15,138.86 and 4,467.20 is: 6,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.31 : 15,138.86 = 4,467.20 : x
  2. Step 2: Convert to fraction form
    10,090.31/15,138.86 = 4,467.20/x
  3. Step 3: Cross multiply
    10,090.31x = 15,138.86 × 4,467.20
  4. Step 4: Simplify right side
    10,090.31x = 67,628,315.39
  5. Step 5: Solve for x
    x = 67,628,315.39/10,090.31
  6. Step 6: Final answer
    x = 6,702.31

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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.