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Finding the Fourth Proportional to 10,677.33, 14,740.11 and 7,321.50

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Solution

The fourth proportional to 10,677.33, 14,740.11 and 7,321.50 is: 10,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.33 : 14,740.11 = 7,321.50 : x
  2. Step 2: Convert to fraction form
    10,677.33/14,740.11 = 7,321.50/x
  3. Step 3: Cross multiply
    10,677.33x = 14,740.11 × 7,321.50
  4. Step 4: Simplify right side
    10,677.33x = 107,919,715.37
  5. Step 5: Solve for x
    x = 107,919,715.37/10,677.33
  6. Step 6: Final answer
    x = 10,107.37

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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.