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Finding the Fourth Proportional to 7,700.06, 11,550.09 and 2,505.94

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Solution

The fourth proportional to 7,700.06, 11,550.09 and 2,505.94 is: 3,758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,700.06 : 11,550.09 = 2,505.94 : x
  2. Step 2: Convert to fraction form
    7,700.06/11,550.09 = 2,505.94/x
  3. Step 3: Cross multiply
    7,700.06x = 11,550.09 × 2,505.94
  4. Step 4: Simplify right side
    7,700.06x = 28,943,813.06
  5. Step 5: Solve for x
    x = 28,943,813.06/7,700.06
  6. Step 6: Final answer
    x = 3,758.91

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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.