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Finding the Fourth Proportional to 10,994.16, 16,493.16 and 4,838

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Solution

The fourth proportional to 10,994.16, 16,493.16 and 4,838 is: 7,257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,994.16 : 16,493.16 = 4,838 : x
  2. Step 2: Convert to fraction form
    10,994.16/16,493.16 = 4,838/x
  3. Step 3: Cross multiply
    10,994.16x = 16,493.16 × 4,838
  4. Step 4: Simplify right side
    10,994.16x = 79,793,908.08
  5. Step 5: Solve for x
    x = 79,793,908.08/10,994.16
  6. Step 6: Final answer
    x = 7,257.84

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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.