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Finding the Fourth Proportional to 10,232.96, 15,379.04 and 6,792.16

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Solution

The fourth proportional to 10,232.96, 15,379.04 and 6,792.16 is: 10,207.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.96 : 15,379.04 = 6,792.16 : x
  2. Step 2: Convert to fraction form
    10,232.96/15,379.04 = 6,792.16/x
  3. Step 3: Cross multiply
    10,232.96x = 15,379.04 × 6,792.16
  4. Step 4: Simplify right side
    10,232.96x = 104,456,900.33
  5. Step 5: Solve for x
    x = 104,456,900.33/10,232.96
  6. Step 6: Final answer
    x = 10,207.89

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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.