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Finding the Fourth Proportional to 10,488.96, 15,736 and 3,093.12

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Solution

The fourth proportional to 10,488.96, 15,736 and 3,093.12 is: 4,640.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.96 : 15,736 = 3,093.12 : x
  2. Step 2: Convert to fraction form
    10,488.96/15,736 = 3,093.12/x
  3. Step 3: Cross multiply
    10,488.96x = 15,736 × 3,093.12
  4. Step 4: Simplify right side
    10,488.96x = 48,673,336.32
  5. Step 5: Solve for x
    x = 48,673,336.32/10,488.96
  6. Step 6: Final answer
    x = 4,640.43

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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.