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Finding the Fourth Proportional to 10,774.26, 16,161.36 and 4,926.78

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Solution

The fourth proportional to 10,774.26, 16,161.36 and 4,926.78 is: 7,390.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.26 : 16,161.36 = 4,926.78 : x
  2. Step 2: Convert to fraction form
    10,774.26/16,161.36 = 4,926.78/x
  3. Step 3: Cross multiply
    10,774.26x = 16,161.36 × 4,926.78
  4. Step 4: Simplify right side
    10,774.26x = 79,623,465.22
  5. Step 5: Solve for x
    x = 79,623,465.22/10,774.26
  6. Step 6: Final answer
    x = 7,390.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.