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Finding the Fourth Proportional to 10,208.64, 15,250.94 and 6,481.02

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Solution

The fourth proportional to 10,208.64, 15,250.94 and 6,481.02 is: 9,682.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.64 : 15,250.94 = 6,481.02 : x
  2. Step 2: Convert to fraction form
    10,208.64/15,250.94 = 6,481.02/x
  3. Step 3: Cross multiply
    10,208.64x = 15,250.94 × 6,481.02
  4. Step 4: Simplify right side
    10,208.64x = 98,841,614.75
  5. Step 5: Solve for x
    x = 98,841,614.75/10,208.64
  6. Step 6: Final answer
    x = 9,682.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.