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Finding the Fourth Proportional to 11,868.91, 17,803.17 and 4,847.38

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Solution

The fourth proportional to 11,868.91, 17,803.17 and 4,847.38 is: 7,270.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.91 : 17,803.17 = 4,847.38 : x
  2. Step 2: Convert to fraction form
    11,868.91/17,803.17 = 4,847.38/x
  3. Step 3: Cross multiply
    11,868.91x = 17,803.17 × 4,847.38
  4. Step 4: Simplify right side
    11,868.91x = 86,298,730.19
  5. Step 5: Solve for x
    x = 86,298,730.19/11,868.91
  6. Step 6: Final answer
    x = 7,270.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.