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Finding the Fourth Proportional to 10,736.84, 16,104.54 and 2,945

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Solution

The fourth proportional to 10,736.84, 16,104.54 and 2,945 is: 4,417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,736.84 : 16,104.54 = 2,945 : x
  2. Step 2: Convert to fraction form
    10,736.84/16,104.54 = 2,945/x
  3. Step 3: Cross multiply
    10,736.84x = 16,104.54 × 2,945
  4. Step 4: Simplify right side
    10,736.84x = 47,427,870.30
  5. Step 5: Solve for x
    x = 47,427,870.30/10,736.84
  6. Step 6: Final answer
    x = 4,417.30

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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.