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Finding the Fourth Proportional to 11,337.76, 17,007.02 and 3,942.28

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Solution

The fourth proportional to 11,337.76, 17,007.02 and 3,942.28 is: 5,913.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337.76 : 17,007.02 = 3,942.28 : x
  2. Step 2: Convert to fraction form
    11,337.76/17,007.02 = 3,942.28/x
  3. Step 3: Cross multiply
    11,337.76x = 17,007.02 × 3,942.28
  4. Step 4: Simplify right side
    11,337.76x = 67,046,434.81
  5. Step 5: Solve for x
    x = 67,046,434.81/11,337.76
  6. Step 6: Final answer
    x = 5,913.55

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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.