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Finding the Fourth Proportional to 11,776.68, 16,245.06 and 7,353

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Solution

The fourth proportional to 11,776.68, 16,245.06 and 7,353 is: 10,142.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.68 : 16,245.06 = 7,353 : x
  2. Step 2: Convert to fraction form
    11,776.68/16,245.06 = 7,353/x
  3. Step 3: Cross multiply
    11,776.68x = 16,245.06 × 7,353
  4. Step 4: Simplify right side
    11,776.68x = 119,449,926.18
  5. Step 5: Solve for x
    x = 119,449,926.18/11,776.68
  6. Step 6: Final answer
    x = 10,142.92

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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.