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Finding the Fourth Proportional to 10,728.91, 14,806.76 and 5,949.32

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Solution

The fourth proportional to 10,728.91, 14,806.76 and 5,949.32 is: 8,210.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.91 : 14,806.76 = 5,949.32 : x
  2. Step 2: Convert to fraction form
    10,728.91/14,806.76 = 5,949.32/x
  3. Step 3: Cross multiply
    10,728.91x = 14,806.76 × 5,949.32
  4. Step 4: Simplify right side
    10,728.91x = 88,090,153.40
  5. Step 5: Solve for x
    x = 88,090,153.40/10,728.91
  6. Step 6: Final answer
    x = 8,210.54

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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.