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Finding the Fourth Proportional to 11,509.21, 17,264.80 and 3,189.23

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Solution

The fourth proportional to 11,509.21, 17,264.80 and 3,189.23 is: 4,784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.21 : 17,264.80 = 3,189.23 : x
  2. Step 2: Convert to fraction form
    11,509.21/17,264.80 = 3,189.23/x
  3. Step 3: Cross multiply
    11,509.21x = 17,264.80 × 3,189.23
  4. Step 4: Simplify right side
    11,509.21x = 55,061,402.16
  5. Step 5: Solve for x
    x = 55,061,402.16/11,509.21
  6. Step 6: Final answer
    x = 4,784.12

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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.