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Finding the Fourth Proportional to 10,034.04, 13,846.94 and 5,618.04

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Solution

The fourth proportional to 10,034.04, 13,846.94 and 5,618.04 is: 7,752.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.04 : 13,846.94 = 5,618.04 : x
  2. Step 2: Convert to fraction form
    10,034.04/13,846.94 = 5,618.04/x
  3. Step 3: Cross multiply
    10,034.04x = 13,846.94 × 5,618.04
  4. Step 4: Simplify right side
    10,034.04x = 77,792,662.80
  5. Step 5: Solve for x
    x = 77,792,662.80/10,034.04
  6. Step 6: Final answer
    x = 7,752.88

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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.