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Finding the Fourth Proportional to 10,976.08, 16,427.16 and 8,111.12

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Solution

The fourth proportional to 10,976.08, 16,427.16 and 8,111.12 is: 12,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976.08 : 16,427.16 = 8,111.12 : x
  2. Step 2: Convert to fraction form
    10,976.08/16,427.16 = 8,111.12/x
  3. Step 3: Cross multiply
    10,976.08x = 16,427.16 × 8,111.12
  4. Step 4: Simplify right side
    10,976.08x = 133,242,666.02
  5. Step 5: Solve for x
    x = 133,242,666.02/10,976.08
  6. Step 6: Final answer
    x = 12,139.37

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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.