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Finding the Fourth Proportional to 10,127.94, 15,206.04 and 5,200.98

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Solution

The fourth proportional to 10,127.94, 15,206.04 and 5,200.98 is: 7,808.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,127.94 : 15,206.04 = 5,200.98 : x
  2. Step 2: Convert to fraction form
    10,127.94/15,206.04 = 5,200.98/x
  3. Step 3: Cross multiply
    10,127.94x = 15,206.04 × 5,200.98
  4. Step 4: Simplify right side
    10,127.94x = 79,086,309.92
  5. Step 5: Solve for x
    x = 79,086,309.92/10,127.94
  6. Step 6: Final answer
    x = 7,808.73

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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.