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Finding the Fourth Proportional to 11,563.38, 17,328.47 and 5,713.16

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Solution

The fourth proportional to 11,563.38, 17,328.47 and 5,713.16 is: 8,561.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.38 : 17,328.47 = 5,713.16 : x
  2. Step 2: Convert to fraction form
    11,563.38/17,328.47 = 5,713.16/x
  3. Step 3: Cross multiply
    11,563.38x = 17,328.47 × 5,713.16
  4. Step 4: Simplify right side
    11,563.38x = 99,000,206.46
  5. Step 5: Solve for x
    x = 99,000,206.46/11,563.38
  6. Step 6: Final answer
    x = 8,561.53

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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.