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Finding the Fourth Proportional to 10,675.24, 14,732.05 and 5,959.52

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Solution

The fourth proportional to 10,675.24, 14,732.05 and 5,959.52 is: 8,224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.24 : 14,732.05 = 5,959.52 : x
  2. Step 2: Convert to fraction form
    10,675.24/14,732.05 = 5,959.52/x
  3. Step 3: Cross multiply
    10,675.24x = 14,732.05 × 5,959.52
  4. Step 4: Simplify right side
    10,675.24x = 87,795,887.85
  5. Step 5: Solve for x
    x = 87,795,887.85/10,675.24
  6. Step 6: Final answer
    x = 8,224.26

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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.