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Finding the Fourth Proportional to 11,911.41, 17,866.76 and 3,146.40

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Solution

The fourth proportional to 11,911.41, 17,866.76 and 3,146.40 is: 4,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911.41 : 17,866.76 = 3,146.40 : x
  2. Step 2: Convert to fraction form
    11,911.41/17,866.76 = 3,146.40/x
  3. Step 3: Cross multiply
    11,911.41x = 17,866.76 × 3,146.40
  4. Step 4: Simplify right side
    11,911.41x = 56,215,957.93
  5. Step 5: Solve for x
    x = 56,215,957.93/11,911.41
  6. Step 6: Final answer
    x = 4,719.50

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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.