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Finding the Fourth Proportional to 10,731.33, 14,809.50 and 5,950.98

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Solution

The fourth proportional to 10,731.33, 14,809.50 and 5,950.98 is: 8,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731.33 : 14,809.50 = 5,950.98 : x
  2. Step 2: Convert to fraction form
    10,731.33/14,809.50 = 5,950.98/x
  3. Step 3: Cross multiply
    10,731.33x = 14,809.50 × 5,950.98
  4. Step 4: Simplify right side
    10,731.33x = 88,131,038.31
  5. Step 5: Solve for x
    x = 88,131,038.31/10,731.33
  6. Step 6: Final answer
    x = 8,212.50

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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.