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Finding the Fourth Proportional to 11,563.11, 17,320.98 and 7,803.30

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Solution

The fourth proportional to 11,563.11, 17,320.98 and 7,803.30 is: 11,688.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.11 : 17,320.98 = 7,803.30 : x
  2. Step 2: Convert to fraction form
    11,563.11/17,320.98 = 7,803.30/x
  3. Step 3: Cross multiply
    11,563.11x = 17,320.98 × 7,803.30
  4. Step 4: Simplify right side
    11,563.11x = 135,160,803.23
  5. Step 5: Solve for x
    x = 135,160,803.23/11,563.11
  6. Step 6: Final answer
    x = 11,688.97

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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.