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Finding the Fourth Proportional to 7,780.79, 11,673.23 and 4,082.03

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Solution

The fourth proportional to 7,780.79, 11,673.23 and 4,082.03 is: 6,124.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.79 : 11,673.23 = 4,082.03 : x
  2. Step 2: Convert to fraction form
    7,780.79/11,673.23 = 4,082.03/x
  3. Step 3: Cross multiply
    7,780.79x = 11,673.23 × 4,082.03
  4. Step 4: Simplify right side
    7,780.79x = 47,650,475.06
  5. Step 5: Solve for x
    x = 47,650,475.06/7,780.79
  6. Step 6: Final answer
    x = 6,124.12

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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.