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Finding the Fourth Proportional to 11,147.92, 16,727.32 and 4,907.15

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Solution

The fourth proportional to 11,147.92, 16,727.32 and 4,907.15 is: 7,363.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.92 : 16,727.32 = 4,907.15 : x
  2. Step 2: Convert to fraction form
    11,147.92/16,727.32 = 4,907.15/x
  3. Step 3: Cross multiply
    11,147.92x = 16,727.32 × 4,907.15
  4. Step 4: Simplify right side
    11,147.92x = 82,083,468.34
  5. Step 5: Solve for x
    x = 82,083,468.34/11,147.92
  6. Step 6: Final answer
    x = 7,363.12

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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.