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Finding the Fourth Proportional to 10,181.12, 15,261.02 and 4,261.40

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Solution

The fourth proportional to 10,181.12, 15,261.02 and 4,261.40 is: 6,387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.12 : 15,261.02 = 4,261.40 : x
  2. Step 2: Convert to fraction form
    10,181.12/15,261.02 = 4,261.40/x
  3. Step 3: Cross multiply
    10,181.12x = 15,261.02 × 4,261.40
  4. Step 4: Simplify right side
    10,181.12x = 65,033,321.28
  5. Step 5: Solve for x
    x = 65,033,321.28/10,181.12
  6. Step 6: Final answer
    x = 6,387.64

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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.