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Finding the Fourth Proportional to 11,175.71, 15,424.04 and 7,456.19

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Solution

The fourth proportional to 11,175.71, 15,424.04 and 7,456.19 is: 10,290.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175.71 : 15,424.04 = 7,456.19 : x
  2. Step 2: Convert to fraction form
    11,175.71/15,424.04 = 7,456.19/x
  3. Step 3: Cross multiply
    11,175.71x = 15,424.04 × 7,456.19
  4. Step 4: Simplify right side
    11,175.71x = 115,004,535.53
  5. Step 5: Solve for x
    x = 115,004,535.53/11,175.71
  6. Step 6: Final answer
    x = 10,290.58

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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.