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Finding the Fourth Proportional to 11,543.34, 17,315.02 and 3,223.38

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Solution

The fourth proportional to 11,543.34, 17,315.02 and 3,223.38 is: 4,835.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.34 : 17,315.02 = 3,223.38 : x
  2. Step 2: Convert to fraction form
    11,543.34/17,315.02 = 3,223.38/x
  3. Step 3: Cross multiply
    11,543.34x = 17,315.02 × 3,223.38
  4. Step 4: Simplify right side
    11,543.34x = 55,812,889.17
  5. Step 5: Solve for x
    x = 55,812,889.17/11,543.34
  6. Step 6: Final answer
    x = 4,835.07

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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.