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Finding the Fourth Proportional to 11,082.84, 15,289.49 and 7,301.15

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Solution

The fourth proportional to 11,082.84, 15,289.49 and 7,301.15 is: 10,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,082.84 : 15,289.49 = 7,301.15 : x
  2. Step 2: Convert to fraction form
    11,082.84/15,289.49 = 7,301.15/x
  3. Step 3: Cross multiply
    11,082.84x = 15,289.49 × 7,301.15
  4. Step 4: Simplify right side
    11,082.84x = 111,630,859.91
  5. Step 5: Solve for x
    x = 111,630,859.91/11,082.84
  6. Step 6: Final answer
    x = 10,072.41

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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.