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Finding the Fourth Proportional to 7,702.74, 11,555.55 and 3,086.10

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Solution

The fourth proportional to 7,702.74, 11,555.55 and 3,086.10 is: 4,629.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.74 : 11,555.55 = 3,086.10 : x
  2. Step 2: Convert to fraction form
    7,702.74/11,555.55 = 3,086.10/x
  3. Step 3: Cross multiply
    7,702.74x = 11,555.55 × 3,086.10
  4. Step 4: Simplify right side
    7,702.74x = 35,661,582.86
  5. Step 5: Solve for x
    x = 35,661,582.86/7,702.74
  6. Step 6: Final answer
    x = 4,629.73

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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.