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Finding the Fourth Proportional to 11,631.20, 16,047.11 and 7,656.32

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Solution

The fourth proportional to 11,631.20, 16,047.11 and 7,656.32 is: 10,563.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,631.20 : 16,047.11 = 7,656.32 : x
  2. Step 2: Convert to fraction form
    11,631.20/16,047.11 = 7,656.32/x
  3. Step 3: Cross multiply
    11,631.20x = 16,047.11 × 7,656.32
  4. Step 4: Simplify right side
    11,631.20x = 122,861,868.49
  5. Step 5: Solve for x
    x = 122,861,868.49/11,631.20
  6. Step 6: Final answer
    x = 10,563.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.