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Finding the Fourth Proportional to 10,293.38, 15,460.73 and 6,141.49

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Solution

The fourth proportional to 10,293.38, 15,460.73 and 6,141.49 is: 9,224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,293.38 : 15,460.73 = 6,141.49 : x
  2. Step 2: Convert to fraction form
    10,293.38/15,460.73 = 6,141.49/x
  3. Step 3: Cross multiply
    10,293.38x = 15,460.73 × 6,141.49
  4. Step 4: Simplify right side
    10,293.38x = 94,951,810.68
  5. Step 5: Solve for x
    x = 94,951,810.68/10,293.38
  6. Step 6: Final answer
    x = 9,224.56

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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.