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Finding the Fourth Proportional to 7,774.72, 11,658.97 and 3,389.08

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Solution

The fourth proportional to 7,774.72, 11,658.97 and 3,389.08 is: 5,082.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.72 : 11,658.97 = 3,389.08 : x
  2. Step 2: Convert to fraction form
    7,774.72/11,658.97 = 3,389.08/x
  3. Step 3: Cross multiply
    7,774.72x = 11,658.97 × 3,389.08
  4. Step 4: Simplify right side
    7,774.72x = 39,513,182.05
  5. Step 5: Solve for x
    x = 39,513,182.05/7,774.72
  6. Step 6: Final answer
    x = 5,082.26

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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.