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Finding the Fourth Proportional to 10,703.88, 14,761.60 and 9,190.97

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Solution

The fourth proportional to 10,703.88, 14,761.60 and 9,190.97 is: 12,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.88 : 14,761.60 = 9,190.97 : x
  2. Step 2: Convert to fraction form
    10,703.88/14,761.60 = 9,190.97/x
  3. Step 3: Cross multiply
    10,703.88x = 14,761.60 × 9,190.97
  4. Step 4: Simplify right side
    10,703.88x = 135,673,339.89
  5. Step 5: Solve for x
    x = 135,673,339.89/10,703.88
  6. Step 6: Final answer
    x = 12,675.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.