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Finding the Fourth Proportional to 11,604.96, 16,016.40 and 7,358.13

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Solution

The fourth proportional to 11,604.96, 16,016.40 and 7,358.13 is: 10,155.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,604.96 : 16,016.40 = 7,358.13 : x
  2. Step 2: Convert to fraction form
    11,604.96/16,016.40 = 7,358.13/x
  3. Step 3: Cross multiply
    11,604.96x = 16,016.40 × 7,358.13
  4. Step 4: Simplify right side
    11,604.96x = 117,850,753.33
  5. Step 5: Solve for x
    x = 117,850,753.33/11,604.96
  6. Step 6: Final answer
    x = 10,155.21

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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.