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Finding the Fourth Proportional to 7,966.62, 10,992.66 and 4,429.86

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Solution

The fourth proportional to 7,966.62, 10,992.66 and 4,429.86 is: 6,112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.62 : 10,992.66 = 4,429.86 : x
  2. Step 2: Convert to fraction form
    7,966.62/10,992.66 = 4,429.86/x
  3. Step 3: Cross multiply
    7,966.62x = 10,992.66 × 4,429.86
  4. Step 4: Simplify right side
    7,966.62x = 48,695,911.91
  5. Step 5: Solve for x
    x = 48,695,911.91/7,966.62
  6. Step 6: Final answer
    x = 6,112.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.