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Finding the Fourth Proportional to 7,131.57, 10,701.95 and 3,846.93

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Solution

The fourth proportional to 7,131.57, 10,701.95 and 3,846.93 is: 5,772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.57 : 10,701.95 = 3,846.93 : x
  2. Step 2: Convert to fraction form
    7,131.57/10,701.95 = 3,846.93/x
  3. Step 3: Cross multiply
    7,131.57x = 10,701.95 × 3,846.93
  4. Step 4: Simplify right side
    7,131.57x = 41,169,633.28
  5. Step 5: Solve for x
    x = 41,169,633.28/7,131.57
  6. Step 6: Final answer
    x = 5,772.87

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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.