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Finding the Fourth Proportional to 8,082.76, 11,154.72 and 4,546.30

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Solution

The fourth proportional to 8,082.76, 11,154.72 and 4,546.30 is: 6,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.76 : 11,154.72 = 4,546.30 : x
  2. Step 2: Convert to fraction form
    8,082.76/11,154.72 = 4,546.30/x
  3. Step 3: Cross multiply
    8,082.76x = 11,154.72 × 4,546.30
  4. Step 4: Simplify right side
    8,082.76x = 50,712,703.54
  5. Step 5: Solve for x
    x = 50,712,703.54/8,082.76
  6. Step 6: Final answer
    x = 6,274.18

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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.