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Finding the Fourth Proportional to 10,305.86, 15,453.59 and 7,342.61

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Solution

The fourth proportional to 10,305.86, 15,453.59 and 7,342.61 is: 11,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.86 : 15,453.59 = 7,342.61 : x
  2. Step 2: Convert to fraction form
    10,305.86/15,453.59 = 7,342.61/x
  3. Step 3: Cross multiply
    10,305.86x = 15,453.59 × 7,342.61
  4. Step 4: Simplify right side
    10,305.86x = 113,469,570.49
  5. Step 5: Solve for x
    x = 113,469,570.49/10,305.86
  6. Step 6: Final answer
    x = 11,010.20

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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.