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Finding the Fourth Proportional to 7,771.28, 11,658.76 and 3,389.52

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Solution

The fourth proportional to 7,771.28, 11,658.76 and 3,389.52 is: 5,085.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.28 : 11,658.76 = 3,389.52 : x
  2. Step 2: Convert to fraction form
    7,771.28/11,658.76 = 3,389.52/x
  3. Step 3: Cross multiply
    7,771.28x = 11,658.76 × 3,389.52
  4. Step 4: Simplify right side
    7,771.28x = 39,517,600.20
  5. Step 5: Solve for x
    x = 39,517,600.20/7,771.28
  6. Step 6: Final answer
    x = 5,085.08

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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.