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Finding the Fourth Proportional to 11,175.09, 15,428.06 and 7,777.04

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Solution

The fourth proportional to 11,175.09, 15,428.06 and 7,777.04 is: 10,736.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.09 : 15,428.06 = 7,777.04 : x
  2. Step 2: Convert to fraction form
    11,175.09/15,428.06 = 7,777.04/x
  3. Step 3: Cross multiply
    11,175.09x = 15,428.06 × 7,777.04
  4. Step 4: Simplify right side
    11,175.09x = 119,984,582.04
  5. Step 5: Solve for x
    x = 119,984,582.04/11,175.09
  6. Step 6: Final answer
    x = 10,736.79

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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.