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Finding the Fourth Proportional to 10,512.81, 15,768.75 and 2,615.16

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Solution

The fourth proportional to 10,512.81, 15,768.75 and 2,615.16 is: 3,922.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.81 : 15,768.75 = 2,615.16 : x
  2. Step 2: Convert to fraction form
    10,512.81/15,768.75 = 2,615.16/x
  3. Step 3: Cross multiply
    10,512.81x = 15,768.75 × 2,615.16
  4. Step 4: Simplify right side
    10,512.81x = 41,237,804.25
  5. Step 5: Solve for x
    x = 41,237,804.25/10,512.81
  6. Step 6: Final answer
    x = 3,922.62

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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.