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Finding the Fourth Proportional to 27,386.96, 41,082.48 and 7,665.26

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Solution

The fourth proportional to 27,386.96, 41,082.48 and 7,665.26 is: 11,498.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,386.96 : 41,082.48 = 7,665.26 : x
  2. Step 2: Convert to fraction form
    27,386.96/41,082.48 = 7,665.26/x
  3. Step 3: Cross multiply
    27,386.96x = 41,082.48 × 7,665.26
  4. Step 4: Simplify right side
    27,386.96x = 314,907,890.64
  5. Step 5: Solve for x
    x = 314,907,890.64/27,386.96
  6. Step 6: Final answer
    x = 11,498.46

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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.