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Finding the Fourth Proportional to 10,329.31, 14,233.89 and 7,180.03

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Solution

The fourth proportional to 10,329.31, 14,233.89 and 7,180.03 is: 9,894.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.31 : 14,233.89 = 7,180.03 : x
  2. Step 2: Convert to fraction form
    10,329.31/14,233.89 = 7,180.03/x
  3. Step 3: Cross multiply
    10,329.31x = 14,233.89 × 7,180.03
  4. Step 4: Simplify right side
    10,329.31x = 102,199,757.22
  5. Step 5: Solve for x
    x = 102,199,757.22/10,329.31
  6. Step 6: Final answer
    x = 9,894.15

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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.