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Finding the Fourth Proportional to 10,485.72, 15,707.81 and 6,790.54

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Solution

The fourth proportional to 10,485.72, 15,707.81 and 6,790.54 is: 10,172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.72 : 15,707.81 = 6,790.54 : x
  2. Step 2: Convert to fraction form
    10,485.72/15,707.81 = 6,790.54/x
  3. Step 3: Cross multiply
    10,485.72x = 15,707.81 × 6,790.54
  4. Step 4: Simplify right side
    10,485.72x = 106,664,512.12
  5. Step 5: Solve for x
    x = 106,664,512.12/10,485.72
  6. Step 6: Final answer
    x = 10,172.36

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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.