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Finding the Fourth Proportional to 11,807.70, 17,711.52 and 3,041.88

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Solution

The fourth proportional to 11,807.70, 17,711.52 and 3,041.88 is: 4,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.70 : 17,711.52 = 3,041.88 : x
  2. Step 2: Convert to fraction form
    11,807.70/17,711.52 = 3,041.88/x
  3. Step 3: Cross multiply
    11,807.70x = 17,711.52 × 3,041.88
  4. Step 4: Simplify right side
    11,807.70x = 53,876,318.46
  5. Step 5: Solve for x
    x = 53,876,318.46/11,807.70
  6. Step 6: Final answer
    x = 4,562.81

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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.