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Finding the Fourth Proportional to 10,707.44, 14,780.56 and 7,072.96

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Solution

The fourth proportional to 10,707.44, 14,780.56 and 7,072.96 is: 9,763.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.44 : 14,780.56 = 7,072.96 : x
  2. Step 2: Convert to fraction form
    10,707.44/14,780.56 = 7,072.96/x
  3. Step 3: Cross multiply
    10,707.44x = 14,780.56 × 7,072.96
  4. Step 4: Simplify right side
    10,707.44x = 104,542,309.66
  5. Step 5: Solve for x
    x = 104,542,309.66/10,707.44
  6. Step 6: Final answer
    x = 9,763.52

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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.