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Finding the Fourth Proportional to 10,262.44, 15,383.14 and 7,792.03

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Solution

The fourth proportional to 10,262.44, 15,383.14 and 7,792.03 is: 11,680.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.44 : 15,383.14 = 7,792.03 : x
  2. Step 2: Convert to fraction form
    10,262.44/15,383.14 = 7,792.03/x
  3. Step 3: Cross multiply
    10,262.44x = 15,383.14 × 7,792.03
  4. Step 4: Simplify right side
    10,262.44x = 119,865,888.37
  5. Step 5: Solve for x
    x = 119,865,888.37/10,262.44
  6. Step 6: Final answer
    x = 11,680.06

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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.