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Finding the Fourth Proportional to 11,424.36, 15,767.64 and 7,396.14

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Solution

The fourth proportional to 11,424.36, 15,767.64 and 7,396.14 is: 10,207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.36 : 15,767.64 = 7,396.14 : x
  2. Step 2: Convert to fraction form
    11,424.36/15,767.64 = 7,396.14/x
  3. Step 3: Cross multiply
    11,424.36x = 15,767.64 × 7,396.14
  4. Step 4: Simplify right side
    11,424.36x = 116,619,672.91
  5. Step 5: Solve for x
    x = 116,619,672.91/11,424.36
  6. Step 6: Final answer
    x = 10,207.98

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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.