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Finding the Fourth Proportional to 11,467.46, 15,828.39 and 7,434.14

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Solution

The fourth proportional to 11,467.46, 15,828.39 and 7,434.14 is: 10,261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.46 : 15,828.39 = 7,434.14 : x
  2. Step 2: Convert to fraction form
    11,467.46/15,828.39 = 7,434.14/x
  3. Step 3: Cross multiply
    11,467.46x = 15,828.39 × 7,434.14
  4. Step 4: Simplify right side
    11,467.46x = 117,670,388.09
  5. Step 5: Solve for x
    x = 117,670,388.09/11,467.46
  6. Step 6: Final answer
    x = 10,261.25

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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.