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Finding the Fourth Proportional to 11,358.92, 15,677.64 and 6,644.36

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Solution

The fourth proportional to 11,358.92, 15,677.64 and 6,644.36 is: 9,170.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358.92 : 15,677.64 = 6,644.36 : x
  2. Step 2: Convert to fraction form
    11,358.92/15,677.64 = 6,644.36/x
  3. Step 3: Cross multiply
    11,358.92x = 15,677.64 × 6,644.36
  4. Step 4: Simplify right side
    11,358.92x = 104,167,884.11
  5. Step 5: Solve for x
    x = 104,167,884.11/11,358.92
  6. Step 6: Final answer
    x = 9,170.58

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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.