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Finding the Fourth Proportional to 10,675.68, 14,731.20 and 5,959.80

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Solution

The fourth proportional to 10,675.68, 14,731.20 and 5,959.80 is: 8,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.68 : 14,731.20 = 5,959.80 : x
  2. Step 2: Convert to fraction form
    10,675.68/14,731.20 = 5,959.80/x
  3. Step 3: Cross multiply
    10,675.68x = 14,731.20 × 5,959.80
  4. Step 4: Simplify right side
    10,675.68x = 87,795,005.76
  5. Step 5: Solve for x
    x = 87,795,005.76/10,675.68
  6. Step 6: Final answer
    x = 8,223.83

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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.