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Finding the Fourth Proportional to 10,728.66, 14,806.42 and 5,949.08

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Solution

The fourth proportional to 10,728.66, 14,806.42 and 5,949.08 is: 8,210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.66 : 14,806.42 = 5,949.08 : x
  2. Step 2: Convert to fraction form
    10,728.66/14,806.42 = 5,949.08/x
  3. Step 3: Cross multiply
    10,728.66x = 14,806.42 × 5,949.08
  4. Step 4: Simplify right side
    10,728.66x = 88,084,488.19
  5. Step 5: Solve for x
    x = 88,084,488.19/10,728.66
  6. Step 6: Final answer
    x = 8,210.21

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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.