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Finding the Fourth Proportional to 27,386.84, 41,082.53 and 7,665.37

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Solution

The fourth proportional to 27,386.84, 41,082.53 and 7,665.37 is: 11,498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,386.84 : 41,082.53 = 7,665.37 : x
  2. Step 2: Convert to fraction form
    27,386.84/41,082.53 = 7,665.37/x
  3. Step 3: Cross multiply
    27,386.84x = 41,082.53 × 7,665.37
  4. Step 4: Simplify right side
    27,386.84x = 314,912,792.99
  5. Step 5: Solve for x
    x = 314,912,792.99/27,386.84
  6. Step 6: Final answer
    x = 11,498.69

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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.