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Finding the Fourth Proportional to 11,082.34, 15,293.80 and 6,302.15

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Solution

The fourth proportional to 11,082.34, 15,293.80 and 6,302.15 is: 8,697.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,082.34 : 15,293.80 = 6,302.15 : x
  2. Step 2: Convert to fraction form
    11,082.34/15,293.80 = 6,302.15/x
  3. Step 3: Cross multiply
    11,082.34x = 15,293.80 × 6,302.15
  4. Step 4: Simplify right side
    11,082.34x = 96,383,861.01
  5. Step 5: Solve for x
    x = 96,383,861.01/11,082.34
  6. Step 6: Final answer
    x = 8,697.07

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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.