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Finding the Fourth Proportional to 10,402.75, 14,352.29 and 5,923.33

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Solution

The fourth proportional to 10,402.75, 14,352.29 and 5,923.33 is: 8,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.75 : 14,352.29 = 5,923.33 : x
  2. Step 2: Convert to fraction form
    10,402.75/14,352.29 = 5,923.33/x
  3. Step 3: Cross multiply
    10,402.75x = 14,352.29 × 5,923.33
  4. Step 4: Simplify right side
    10,402.75x = 85,013,349.93
  5. Step 5: Solve for x
    x = 85,013,349.93/10,402.75
  6. Step 6: Final answer
    x = 8,172.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.