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Finding the Fourth Proportional to 10,805.28, 14,911.74 and 6,328.41

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Solution

The fourth proportional to 10,805.28, 14,911.74 and 6,328.41 is: 8,733.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.28 : 14,911.74 = 6,328.41 : x
  2. Step 2: Convert to fraction form
    10,805.28/14,911.74 = 6,328.41/x
  3. Step 3: Cross multiply
    10,805.28x = 14,911.74 × 6,328.41
  4. Step 4: Simplify right side
    10,805.28x = 94,367,604.53
  5. Step 5: Solve for x
    x = 94,367,604.53/10,805.28
  6. Step 6: Final answer
    x = 8,733.47

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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.