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Finding the Fourth Proportional to 11,967.76, 17,962.04 and 4,951.76

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Solution

The fourth proportional to 11,967.76, 17,962.04 and 4,951.76 is: 7,431.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.76 : 17,962.04 = 4,951.76 : x
  2. Step 2: Convert to fraction form
    11,967.76/17,962.04 = 4,951.76/x
  3. Step 3: Cross multiply
    11,967.76x = 17,962.04 × 4,951.76
  4. Step 4: Simplify right side
    11,967.76x = 88,943,711.19
  5. Step 5: Solve for x
    x = 88,943,711.19/11,967.76
  6. Step 6: Final answer
    x = 7,431.94

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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.