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Finding the Fourth Proportional to 11,513.14, 17,258.79 and 7,341.44

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Solution

The fourth proportional to 11,513.14, 17,258.79 and 7,341.44 is: 11,005.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513.14 : 17,258.79 = 7,341.44 : x
  2. Step 2: Convert to fraction form
    11,513.14/17,258.79 = 7,341.44/x
  3. Step 3: Cross multiply
    11,513.14x = 17,258.79 × 7,341.44
  4. Step 4: Simplify right side
    11,513.14x = 126,704,371.26
  5. Step 5: Solve for x
    x = 126,704,371.26/11,513.14
  6. Step 6: Final answer
    x = 11,005.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.