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Finding the Fourth Proportional to 10,675.68, 14,731.07 and 5,960.16

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Solution

The fourth proportional to 10,675.68, 14,731.07 and 5,960.16 is: 8,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.68 : 14,731.07 = 5,960.16 : x
  2. Step 2: Convert to fraction form
    10,675.68/14,731.07 = 5,960.16/x
  3. Step 3: Cross multiply
    10,675.68x = 14,731.07 × 5,960.16
  4. Step 4: Simplify right side
    10,675.68x = 87,799,504.37
  5. Step 5: Solve for x
    x = 87,799,504.37/10,675.68
  6. Step 6: Final answer
    x = 8,224.25

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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.