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Finding the Fourth Proportional to 12,102.92, 16,697.87 and 7,562.52

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Solution

The fourth proportional to 12,102.92, 16,697.87 and 7,562.52 is: 10,433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.92 : 16,697.87 = 7,562.52 : x
  2. Step 2: Convert to fraction form
    12,102.92/16,697.87 = 7,562.52/x
  3. Step 3: Cross multiply
    12,102.92x = 16,697.87 × 7,562.52
  4. Step 4: Simplify right side
    12,102.92x = 126,277,975.83
  5. Step 5: Solve for x
    x = 126,277,975.83/12,102.92
  6. Step 6: Final answer
    x = 10,433.68

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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.