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Finding the Fourth Proportional to 7,967.69, 10,994.90 and 4,983.38

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Solution

The fourth proportional to 7,967.69, 10,994.90 and 4,983.38 is: 6,876.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.69 : 10,994.90 = 4,983.38 : x
  2. Step 2: Convert to fraction form
    7,967.69/10,994.90 = 4,983.38/x
  3. Step 3: Cross multiply
    7,967.69x = 10,994.90 × 4,983.38
  4. Step 4: Simplify right side
    7,967.69x = 54,791,684.87
  5. Step 5: Solve for x
    x = 54,791,684.87/7,967.69
  6. Step 6: Final answer
    x = 6,876.74

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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.