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Finding the Fourth Proportional to 10,189.63, 15,275.31 and 6,481.45

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Solution

The fourth proportional to 10,189.63, 15,275.31 and 6,481.45 is: 9,716.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.63 : 15,275.31 = 6,481.45 : x
  2. Step 2: Convert to fraction form
    10,189.63/15,275.31 = 6,481.45/x
  3. Step 3: Cross multiply
    10,189.63x = 15,275.31 × 6,481.45
  4. Step 4: Simplify right side
    10,189.63x = 99,006,158.00
  5. Step 5: Solve for x
    x = 99,006,158.00/10,189.63
  6. Step 6: Final answer
    x = 9,716.36

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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.