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Finding the Fourth Proportional to 11,543.10, 17,314.57 and 3,223.11

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Solution

The fourth proportional to 11,543.10, 17,314.57 and 3,223.11 is: 4,834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.10 : 17,314.57 = 3,223.11 : x
  2. Step 2: Convert to fraction form
    11,543.10/17,314.57 = 3,223.11/x
  3. Step 3: Cross multiply
    11,543.10x = 17,314.57 × 3,223.11
  4. Step 4: Simplify right side
    11,543.10x = 55,806,763.71
  5. Step 5: Solve for x
    x = 55,806,763.71/11,543.10
  6. Step 6: Final answer
    x = 4,834.64

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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.