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Finding the Fourth Proportional to 11,689.21, 17,543.08 and 5,120.01

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Solution

The fourth proportional to 11,689.21, 17,543.08 and 5,120.01 is: 7,684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.21 : 17,543.08 = 5,120.01 : x
  2. Step 2: Convert to fraction form
    11,689.21/17,543.08 = 5,120.01/x
  3. Step 3: Cross multiply
    11,689.21x = 17,543.08 × 5,120.01
  4. Step 4: Simplify right side
    11,689.21x = 89,820,751.43
  5. Step 5: Solve for x
    x = 89,820,751.43/11,689.21
  6. Step 6: Final answer
    x = 7,684.07

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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.