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Finding the Fourth Proportional to 11,558.16, 17,339.04 and 3,765.16

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Solution

The fourth proportional to 11,558.16, 17,339.04 and 3,765.16 is: 5,648.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,558.16 : 17,339.04 = 3,765.16 : x
  2. Step 2: Convert to fraction form
    11,558.16/17,339.04 = 3,765.16/x
  3. Step 3: Cross multiply
    11,558.16x = 17,339.04 × 3,765.16
  4. Step 4: Simplify right side
    11,558.16x = 65,284,259.85
  5. Step 5: Solve for x
    x = 65,284,259.85/11,558.16
  6. Step 6: Final answer
    x = 5,648.33

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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.